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Finding the Fourth Proportional to 649,481.16, 974,380.19 and 457,729.46

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Solution

The fourth proportional to 649,481.16, 974,380.19 and 457,729.46 is: 686,705.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,481.16 : 974,380.19 = 457,729.46 : x
  2. Step 2: Convert to fraction form
    649,481.16/974,380.19 = 457,729.46/x
  3. Step 3: Cross multiply
    649,481.16x = 974,380.19 × 457,729.46
  4. Step 4: Simplify right side
    649,481.16x = 446,002,511,956.33
  5. Step 5: Solve for x
    x = 446,002,511,956.33/649,481.16
  6. Step 6: Final answer
    x = 686,705.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.