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Finding the Fourth Proportional to 432,331.68, 596,627.82 and 271,193.52

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Solution

The fourth proportional to 432,331.68, 596,627.82 and 271,193.52 is: 374,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,331.68 : 596,627.82 = 271,193.52 : x
  2. Step 2: Convert to fraction form
    432,331.68/596,627.82 = 271,193.52/x
  3. Step 3: Cross multiply
    432,331.68x = 596,627.82 × 271,193.52
  4. Step 4: Simplify right side
    432,331.68x = 161,801,598,635.73
  5. Step 5: Solve for x
    x = 161,801,598,635.73/432,331.68
  6. Step 6: Final answer
    x = 374,253.39

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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.