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Finding the Fourth Proportional to 454,543.88, 681,914.25 and 174,061.13

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Solution

The fourth proportional to 454,543.88, 681,914.25 and 174,061.13 is: 261,129.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,543.88 : 681,914.25 = 174,061.13 : x
  2. Step 2: Convert to fraction form
    454,543.88/681,914.25 = 174,061.13/x
  3. Step 3: Cross multiply
    454,543.88x = 681,914.25 × 174,061.13
  4. Step 4: Simplify right side
    454,543.88x = 118,694,761,508.53
  5. Step 5: Solve for x
    x = 118,694,761,508.53/454,543.88
  6. Step 6: Final answer
    x = 261,129.38

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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.