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Finding the Fourth Proportional to 454,540, 681,908.42 and 174,057.25

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Solution

The fourth proportional to 454,540, 681,908.42 and 174,057.25 is: 261,123.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,540 : 681,908.42 = 174,057.25 : x
  2. Step 2: Convert to fraction form
    454,540/681,908.42 = 174,057.25/x
  3. Step 3: Cross multiply
    454,540x = 681,908.42 × 174,057.25
  4. Step 4: Simplify right side
    454,540x = 118,691,104,337.05
  5. Step 5: Solve for x
    x = 118,691,104,337.05/454,540
  6. Step 6: Final answer
    x = 261,123.56

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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.