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Finding the Fourth Proportional to 432,930.40, 597,057.12 and 271,800.46

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Solution

The fourth proportional to 432,930.40, 597,057.12 and 271,800.46 is: 374,841.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,930.40 : 597,057.12 = 271,800.46 : x
  2. Step 2: Convert to fraction form
    432,930.40/597,057.12 = 271,800.46/x
  3. Step 3: Cross multiply
    432,930.40x = 597,057.12 × 271,800.46
  4. Step 4: Simplify right side
    432,930.40x = 162,280,399,862.28
  5. Step 5: Solve for x
    x = 162,280,399,862.28/432,930.40
  6. Step 6: Final answer
    x = 374,841.78

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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.