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Finding the Fourth Proportional to 420,462.65, 580,229.83 and 229,475.99

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Solution

The fourth proportional to 420,462.65, 580,229.83 and 229,475.99 is: 316,672.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,462.65 : 580,229.83 = 229,475.99 : x
  2. Step 2: Convert to fraction form
    420,462.65/580,229.83 = 229,475.99/x
  3. Step 3: Cross multiply
    420,462.65x = 580,229.83 × 229,475.99
  4. Step 4: Simplify right side
    420,462.65x = 133,148,816,404.20
  5. Step 5: Solve for x
    x = 133,148,816,404.20/420,462.65
  6. Step 6: Final answer
    x = 316,672.16

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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.