$($Present value of a growing$$ perpetuity$)$As a result of winning the Gates Energy Innovation$$ Award, you are awarded a growing perpetuity. The first payment will occur in a year and will be for $$$$30$ comma $000.$ You will continue receiving monetary awards annually with each award increasing by $6$ percent over the previous$$ award, and these monetary awards will continue forever. If the appropriate interest rate is $14$percent$,$ what is the present value of this$$ award?

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Part $1$

The present value of the award is $$$

$$

enter your response here. $($Round to the nearest$$ cent.$)$