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Finding the Fourth Proportional to 468,234.52, 702,463.70 and 152,691.80

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Solution

The fourth proportional to 468,234.52, 702,463.70 and 152,691.80 is: 229,074.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,234.52 : 702,463.70 = 152,691.80 : x
  2. Step 2: Convert to fraction form
    468,234.52/702,463.70 = 152,691.80/x
  3. Step 3: Cross multiply
    468,234.52x = 702,463.70 × 152,691.80
  4. Step 4: Simplify right side
    468,234.52x = 107,260,446,787.66
  5. Step 5: Solve for x
    x = 107,260,446,787.66/468,234.52
  6. Step 6: Final answer
    x = 229,074.20

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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.