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Finding the Fourth Proportional to 474,365.97, 710,408.61 and 271,346.49

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Solution

The fourth proportional to 474,365.97, 710,408.61 and 271,346.49 is: 406,367.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,365.97 : 710,408.61 = 271,346.49 : x
  2. Step 2: Convert to fraction form
    474,365.97/710,408.61 = 271,346.49/x
  3. Step 3: Cross multiply
    474,365.97x = 710,408.61 × 271,346.49
  4. Step 4: Simplify right side
    474,365.97x = 192,766,882,789.28
  5. Step 5: Solve for x
    x = 192,766,882,789.28/474,365.97
  6. Step 6: Final answer
    x = 406,367.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.