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Finding the Fourth Proportional to 442,930.60, 664,395.90 and 176,732.20

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Solution

The fourth proportional to 442,930.60, 664,395.90 and 176,732.20 is: 265,098.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,930.60 : 664,395.90 = 176,732.20 : x
  2. Step 2: Convert to fraction form
    442,930.60/664,395.90 = 176,732.20/x
  3. Step 3: Cross multiply
    442,930.60x = 664,395.90 × 176,732.20
  4. Step 4: Simplify right side
    442,930.60x = 117,420,149,077.98
  5. Step 5: Solve for x
    x = 117,420,149,077.98/442,930.60
  6. Step 6: Final answer
    x = 265,098.30

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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.