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Finding the Fourth Proportional to 396,422.82, 547,046.01 and 226,668.06

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Solution

The fourth proportional to 396,422.82, 547,046.01 and 226,668.06 is: 312,791.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,422.82 : 547,046.01 = 226,668.06 : x
  2. Step 2: Convert to fraction form
    396,422.82/547,046.01 = 226,668.06/x
  3. Step 3: Cross multiply
    396,422.82x = 547,046.01 × 226,668.06
  4. Step 4: Simplify right side
    396,422.82x = 123,997,857,817.44
  5. Step 5: Solve for x
    x = 123,997,857,817.44/396,422.82
  6. Step 6: Final answer
    x = 312,791.93

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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.