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Finding the Fourth Proportional to 454,543.50, 681,913.67 and 174,060.76

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Solution

The fourth proportional to 454,543.50, 681,913.67 and 174,060.76 is: 261,128.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,543.50 : 681,913.67 = 174,060.76 : x
  2. Step 2: Convert to fraction form
    454,543.50/681,913.67 = 174,060.76/x
  3. Step 3: Cross multiply
    454,543.50x = 681,913.67 × 174,060.76
  4. Step 4: Simplify right side
    454,543.50x = 118,694,411,654.59
  5. Step 5: Solve for x
    x = 118,694,411,654.59/454,543.50
  6. Step 6: Final answer
    x = 261,128.83

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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.