A $410$V$,80$Hz$,90$ hp$,$ three phase induction motor is drawing $171\mathrm{.}276$A at a $0\mathrm{.}8$ pf lagging. The stator copper losses are $11764\mathrm{.}1$ W$,$ and the rotor copper losses are $7058\mathrm{.}46$ W$.$ The friction and windage losses are $6805\mathrm{.}08$ W$,$ the core losses are $4536\mathrm{.}72$ W$,$ and the stray losses are negligible. Find the following quantities: $($N$.$B$.$ Remember that, in electric machines, the industry convention is that one hp is exactly $746$ watts.$)($N$.$B$.$ For this problem, consider that the core losses appear as in a transformer in an Rc in parallel with jXm$).($N$.$B$\mathrm{.}2.$ Remember that in a three phase equipment, the rated voltage listed above is line$-$to$-$line $410$ V$.)$