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Finding the Fourth Proportional to 542,780.80, 814,171.20 and 408,061.60

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Solution

The fourth proportional to 542,780.80, 814,171.20 and 408,061.60 is: 612,092.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,780.80 : 814,171.20 = 408,061.60 : x
  2. Step 2: Convert to fraction form
    542,780.80/814,171.20 = 408,061.60/x
  3. Step 3: Cross multiply
    542,780.80x = 814,171.20 × 408,061.60
  4. Step 4: Simplify right side
    542,780.80x = 332,232,002,545.92
  5. Step 5: Solve for x
    x = 332,232,002,545.92/542,780.80
  6. Step 6: Final answer
    x = 612,092.40

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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.