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Finding the Fourth Proportional to 458,129.80, 687,338.70 and 221,480.20

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Solution

The fourth proportional to 458,129.80, 687,338.70 and 221,480.20 is: 332,289.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,129.80 : 687,338.70 = 221,480.20 : x
  2. Step 2: Convert to fraction form
    458,129.80/687,338.70 = 221,480.20/x
  3. Step 3: Cross multiply
    458,129.80x = 687,338.70 × 221,480.20
  4. Step 4: Simplify right side
    458,129.80x = 152,231,912,743.74
  5. Step 5: Solve for x
    x = 152,231,912,743.74/458,129.80
  6. Step 6: Final answer
    x = 332,289.92

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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.