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Finding the Fourth Proportional to 462,972.80, 694,689.60 and 182,499.20

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Solution

The fourth proportional to 462,972.80, 694,689.60 and 182,499.20 is: 273,839.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,972.80 : 694,689.60 = 182,499.20 : x
  2. Step 2: Convert to fraction form
    462,972.80/694,689.60 = 182,499.20/x
  3. Step 3: Cross multiply
    462,972.80x = 694,689.60 × 182,499.20
  4. Step 4: Simplify right side
    462,972.80x = 126,780,296,248.32
  5. Step 5: Solve for x
    x = 126,780,296,248.32/462,972.80
  6. Step 6: Final answer
    x = 273,839.62

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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.