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Finding the Fourth Proportional to 402,625.80, 604,014.90 and 132,769.44

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Solution

The fourth proportional to 402,625.80, 604,014.90 and 132,769.44 is: 199,179.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,625.80 : 604,014.90 = 132,769.44 : x
  2. Step 2: Convert to fraction form
    402,625.80/604,014.90 = 132,769.44/x
  3. Step 3: Cross multiply
    402,625.80x = 604,014.90 × 132,769.44
  4. Step 4: Simplify right side
    402,625.80x = 80,194,720,024.66
  5. Step 5: Solve for x
    x = 80,194,720,024.66/402,625.80
  6. Step 6: Final answer
    x = 199,179.29

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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.