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Finding the Fourth Proportional to 323,614.60, 485,344.14 and 165,761.80

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Solution

The fourth proportional to 323,614.60, 485,344.14 and 165,761.80 is: 248,602.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,614.60 : 485,344.14 = 165,761.80 : x
  2. Step 2: Convert to fraction form
    323,614.60/485,344.14 = 165,761.80/x
  3. Step 3: Cross multiply
    323,614.60x = 485,344.14 × 165,761.80
  4. Step 4: Simplify right side
    323,614.60x = 80,451,518,265.85
  5. Step 5: Solve for x
    x = 80,451,518,265.85/323,614.60
  6. Step 6: Final answer
    x = 248,602.87

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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.