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Finding the Fourth Proportional to 649,675.40, 974,513.10 and 471,345.80

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Solution

The fourth proportional to 649,675.40, 974,513.10 and 471,345.80 is: 707,018.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,675.40 : 974,513.10 = 471,345.80 : x
  2. Step 2: Convert to fraction form
    649,675.40/974,513.10 = 471,345.80/x
  3. Step 3: Cross multiply
    649,675.40x = 974,513.10 × 471,345.80
  4. Step 4: Simplify right side
    649,675.40x = 459,332,656,729.98
  5. Step 5: Solve for x
    x = 459,332,656,729.98/649,675.40
  6. Step 6: Final answer
    x = 707,018.70

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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.