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Finding the Fourth Proportional to 609,542.64, 914,374.47 and 225,392.25

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Solution

The fourth proportional to 609,542.64, 914,374.47 and 225,392.25 is: 338,110.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,542.64 : 914,374.47 = 225,392.25 : x
  2. Step 2: Convert to fraction form
    609,542.64/914,374.47 = 225,392.25/x
  3. Step 3: Cross multiply
    609,542.64x = 914,374.47 × 225,392.25
  4. Step 4: Simplify right side
    609,542.64x = 206,092,919,135.86
  5. Step 5: Solve for x
    x = 206,092,919,135.86/609,542.64
  6. Step 6: Final answer
    x = 338,110.75

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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.