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Finding the Fourth Proportional to 391,046.20, 539,641.78 and 212,198.20

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Solution

The fourth proportional to 391,046.20, 539,641.78 and 212,198.20 is: 292,832.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,046.20 : 539,641.78 = 212,198.20 : x
  2. Step 2: Convert to fraction form
    391,046.20/539,641.78 = 212,198.20/x
  3. Step 3: Cross multiply
    391,046.20x = 539,641.78 × 212,198.20
  4. Step 4: Simplify right side
    391,046.20x = 114,511,014,360.80
  5. Step 5: Solve for x
    x = 114,511,014,360.80/391,046.20
  6. Step 6: Final answer
    x = 292,832.44

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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.