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Finding the Fourth Proportional to 458,625.90, 688,048.20 and 221,773.80

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Solution

The fourth proportional to 458,625.90, 688,048.20 and 221,773.80 is: 332,713.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,625.90 : 688,048.20 = 221,773.80 : x
  2. Step 2: Convert to fraction form
    458,625.90/688,048.20 = 221,773.80/x
  3. Step 3: Cross multiply
    458,625.90x = 688,048.20 × 221,773.80
  4. Step 4: Simplify right side
    458,625.90x = 152,591,063,897.16
  5. Step 5: Solve for x
    x = 152,591,063,897.16/458,625.90
  6. Step 6: Final answer
    x = 332,713.58

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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.