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Finding the Fourth Proportional to 396,717.48, 547,468.20 and 215,427.84

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Solution

The fourth proportional to 396,717.48, 547,468.20 and 215,427.84 is: 297,289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,717.48 : 547,468.20 = 215,427.84 : x
  2. Step 2: Convert to fraction form
    396,717.48/547,468.20 = 215,427.84/x
  3. Step 3: Cross multiply
    396,717.48x = 547,468.20 × 215,427.84
  4. Step 4: Simplify right side
    396,717.48x = 117,939,891,794.69
  5. Step 5: Solve for x
    x = 117,939,891,794.69/396,717.48
  6. Step 6: Final answer
    x = 297,289.38

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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.