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Finding the Fourth Proportional to 396,584.76, 547,253.10 and 226,791.48

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Solution

The fourth proportional to 396,584.76, 547,253.10 and 226,791.48 is: 312,952.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,584.76 : 547,253.10 = 226,791.48 : x
  2. Step 2: Convert to fraction form
    396,584.76/547,253.10 = 226,791.48/x
  3. Step 3: Cross multiply
    396,584.76x = 547,253.10 × 226,791.48
  4. Step 4: Simplify right side
    396,584.76x = 124,112,340,483.59
  5. Step 5: Solve for x
    x = 124,112,340,483.59/396,584.76
  6. Step 6: Final answer
    x = 312,952.87

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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.