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Finding the Fourth Proportional to 420,780.32, 580,678.98 and 229,793.71

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Solution

The fourth proportional to 420,780.32, 580,678.98 and 229,793.71 is: 317,116.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,780.32 : 580,678.98 = 229,793.71 : x
  2. Step 2: Convert to fraction form
    420,780.32/580,678.98 = 229,793.71/x
  3. Step 3: Cross multiply
    420,780.32x = 580,678.98 × 229,793.71
  4. Step 4: Simplify right side
    420,780.32x = 133,436,374,229.82
  5. Step 5: Solve for x
    x = 133,436,374,229.82/420,780.32
  6. Step 6: Final answer
    x = 317,116.48

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