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Finding the Fourth Proportional to 482,470.56, 723,475.80 and 216,233.28

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Solution

The fourth proportional to 482,470.56, 723,475.80 and 216,233.28 is: 324,246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,470.56 : 723,475.80 = 216,233.28 : x
  2. Step 2: Convert to fraction form
    482,470.56/723,475.80 = 216,233.28/x
  3. Step 3: Cross multiply
    482,470.56x = 723,475.80 × 216,233.28
  4. Step 4: Simplify right side
    482,470.56x = 156,439,545,234.62
  5. Step 5: Solve for x
    x = 156,439,545,234.62/482,470.56
  6. Step 6: Final answer
    x = 324,246.82

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Why These Related Problems?

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