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Finding the Fourth Proportional to 396,497.34, 547,167.11 and 226,731.47

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Solution

The fourth proportional to 396,497.34, 547,167.11 and 226,731.47 is: 312,889.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,497.34 : 547,167.11 = 226,731.47 : x
  2. Step 2: Convert to fraction form
    396,497.34/547,167.11 = 226,731.47/x
  3. Step 3: Cross multiply
    396,497.34x = 547,167.11 × 226,731.47
  4. Step 4: Simplify right side
    396,497.34x = 124,059,999,316.46
  5. Step 5: Solve for x
    x = 124,059,999,316.46/396,497.34
  6. Step 6: Final answer
    x = 312,889.87

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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.