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Finding the Fourth Proportional to 357,691.75, 493,614.48 and 196,557.18

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Solution

The fourth proportional to 357,691.75, 493,614.48 and 196,557.18 is: 271,248.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,691.75 : 493,614.48 = 196,557.18 : x
  2. Step 2: Convert to fraction form
    357,691.75/493,614.48 = 196,557.18/x
  3. Step 3: Cross multiply
    357,691.75x = 493,614.48 × 196,557.18
  4. Step 4: Simplify right side
    357,691.75x = 97,023,468,182.11
  5. Step 5: Solve for x
    x = 97,023,468,182.11/357,691.75
  6. Step 6: Final answer
    x = 271,248.83

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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.