You danced around some topics and I am unclear where you stand.
If your belief is that a 3ph that can lif 2500# at 1' means it can only lift 250# at 10',then you are dead wrong. The 3ph is not a simple lever as the formulas you cite are used for.
The "felt" weigh, or weight transfer off the front end and weather you loose steering or flip backwards cn be calculated as such, but not the capacity of the hitch hydraulics itself.
This has been discussed in depth many many times here on TBN.
How much your hitch can lift at 10' back depends on the geometry and toplink configuration of the particular tractor. And can vary greatly even on the same tractor if you have a toplink that has multiple mounting locations.
Basically, the closer to parallel you can keep the hitch through out its cycle, the more capacity you will have.
On my 6' bushhog, that's tailwheel is about 8' back, I can make the tailwheel raise about 18" for every 12" the front comes up. Or I can adjust the TL and make the tailwheel raise 36"+ for every foot of movement the front makes.
If you want to find your capacity at a given distance, this is the simplest solution. Express it as a ratio of lift height. If you have 2500# capacity at the ball ends measure how high they are off a level surface as well as whatever point you want to know the capacity of. Now raise hitch and measure again. The amount of movement, expressed as a ratio, is the same ratio for lift capacity.
IE: 2500# capacity at ball ends, raise the hitch. If it moves 12", and the tip of your boom raised 60".... That's 1:5. So you will have 1/5th the capacity...or 500#.
If for every foot the ball ends move, the tip of the pole moves 2'...that's 1:2. So you would have 1/2 the capacity...or 1250#.
To go as low as 250# capacity, you would need a 10:1 difference in range of travel. Just ajnt gonna happen on a 3ph