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Finding the Fourth Proportional to 357,898.62, 493,909.53 and 196,757.73

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Solution

The fourth proportional to 357,898.62, 493,909.53 and 196,757.73 is: 271,530.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,898.62 : 493,909.53 = 196,757.73 : x
  2. Step 2: Convert to fraction form
    357,898.62/493,909.53 = 196,757.73/x
  3. Step 3: Cross multiply
    357,898.62x = 493,909.53 × 196,757.73
  4. Step 4: Simplify right side
    357,898.62x = 97,180,517,948.17
  5. Step 5: Solve for x
    x = 97,180,517,948.17/357,898.62
  6. Step 6: Final answer
    x = 271,530.85

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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.