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Finding the Fourth Proportional to 463,757.13, 695,898.72 and 197,489.88

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Solution

The fourth proportional to 463,757.13, 695,898.72 and 197,489.88 is: 296,346.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,757.13 : 695,898.72 = 197,489.88 : x
  2. Step 2: Convert to fraction form
    463,757.13/695,898.72 = 197,489.88/x
  3. Step 3: Cross multiply
    463,757.13x = 695,898.72 × 197,489.88
  4. Step 4: Simplify right side
    463,757.13x = 137,432,954,704.95
  5. Step 5: Solve for x
    x = 137,432,954,704.95/463,757.13
  6. Step 6: Final answer
    x = 296,346.83

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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.