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Finding the Fourth Proportional to 412,231.95, 616,970.12 and 234,691.29

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Solution

The fourth proportional to 412,231.95, 616,970.12 and 234,691.29 is: 351,252.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,231.95 : 616,970.12 = 234,691.29 : x
  2. Step 2: Convert to fraction form
    412,231.95/616,970.12 = 234,691.29/x
  3. Step 3: Cross multiply
    412,231.95x = 616,970.12 × 234,691.29
  4. Step 4: Simplify right side
    412,231.95x = 144,797,512,180.80
  5. Step 5: Solve for x
    x = 144,797,512,180.80/412,231.95
  6. Step 6: Final answer
    x = 351,252.52

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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.