Car pulls to the right

Anytime I have new tires put on, or have them balanced and rotated, the car pulls to the right, BAD! I've had several alignments with no luck. The only thing that works is to move the wheels around until you find the right combination.

It doesn't seem to make any sense that when you have perfectly balanced wheels, that the car pulls like it does and then to simply swap them around and the problem goes away. Do I have a bent wheel or suspension parts that are messed up? Of course the company I bought the tires from doesn't have a clue (tyvm Les Schwab).

Any ideas?

Thanks!

Tim