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Finding the Fourth Proportional to 706,487.16, 974,956.92 and 384,200.76

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Solution

The fourth proportional to 706,487.16, 974,956.92 and 384,200.76 is: 530,199.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,487.16 : 974,956.92 = 384,200.76 : x
  2. Step 2: Convert to fraction form
    706,487.16/974,956.92 = 384,200.76/x
  3. Step 3: Cross multiply
    706,487.16x = 974,956.92 × 384,200.76
  4. Step 4: Simplify right side
    706,487.16x = 374,579,189,631.26
  5. Step 5: Solve for x
    x = 374,579,189,631.26/706,487.16
  6. Step 6: Final answer
    x = 530,199.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.