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Finding the Fourth Proportional to 542,245.38, 747,986.97 and 338,198.28

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Solution

The fourth proportional to 542,245.38, 747,986.97 and 338,198.28 is: 466,519.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,245.38 : 747,986.97 = 338,198.28 : x
  2. Step 2: Convert to fraction form
    542,245.38/747,986.97 = 338,198.28/x
  3. Step 3: Cross multiply
    542,245.38x = 747,986.97 × 338,198.28
  4. Step 4: Simplify right side
    542,245.38x = 252,967,906,716.41
  5. Step 5: Solve for x
    x = 252,967,906,716.41/542,245.38
  6. Step 6: Final answer
    x = 466,519.25

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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.