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Finding the Fourth Proportional to 458,493.96, 687,519.73 and 192,182.97

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Solution

The fourth proportional to 458,493.96, 687,519.73 and 192,182.97 is: 288,181.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,493.96 : 687,519.73 = 192,182.97 : x
  2. Step 2: Convert to fraction form
    458,493.96/687,519.73 = 192,182.97/x
  3. Step 3: Cross multiply
    458,493.96x = 687,519.73 × 192,182.97
  4. Step 4: Simplify right side
    458,493.96x = 132,129,583,645.00
  5. Step 5: Solve for x
    x = 132,129,583,645.00/458,493.96
  6. Step 6: Final answer
    x = 288,181.73

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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.