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Finding the Fourth Proportional to 458,029.80, 687,188.70 and 221,380.20

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Solution

The fourth proportional to 458,029.80, 687,188.70 and 221,380.20 is: 332,139.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,029.80 : 687,188.70 = 221,380.20 : x
  2. Step 2: Convert to fraction form
    458,029.80/687,188.70 = 221,380.20/x
  3. Step 3: Cross multiply
    458,029.80x = 687,188.70 × 221,380.20
  4. Step 4: Simplify right side
    458,029.80x = 152,129,971,843.74
  5. Step 5: Solve for x
    x = 152,129,971,843.74/458,029.80
  6. Step 6: Final answer
    x = 332,139.90

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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.