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Finding the Fourth Proportional to 391,053.76, 539,654.18 and 212,205.76

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Solution

The fourth proportional to 391,053.76, 539,654.18 and 212,205.76 is: 292,843.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,053.76 : 539,654.18 = 212,205.76 : x
  2. Step 2: Convert to fraction form
    391,053.76/539,654.18 = 212,205.76/x
  3. Step 3: Cross multiply
    391,053.76x = 539,654.18 × 212,205.76
  4. Step 4: Simplify right side
    391,053.76x = 114,517,725,404.08
  5. Step 5: Solve for x
    x = 114,517,725,404.08/391,053.76
  6. Step 6: Final answer
    x = 292,843.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.