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Finding the Fourth Proportional to 461,732.80, 693,024.95 and 234,188.12

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Solution

The fourth proportional to 461,732.80, 693,024.95 and 234,188.12 is: 351,498.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,732.80 : 693,024.95 = 234,188.12 : x
  2. Step 2: Convert to fraction form
    461,732.80/693,024.95 = 234,188.12/x
  3. Step 3: Cross multiply
    461,732.80x = 693,024.95 × 234,188.12
  4. Step 4: Simplify right side
    461,732.80x = 162,298,205,517.53
  5. Step 5: Solve for x
    x = 162,298,205,517.53/461,732.80
  6. Step 6: Final answer
    x = 351,498.11

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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.