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Finding the Fourth Proportional to 394,165.68, 591,251.76 and 169,510.56

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Solution

The fourth proportional to 394,165.68, 591,251.76 and 169,510.56 is: 254,267.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,165.68 : 591,251.76 = 169,510.56 : x
  2. Step 2: Convert to fraction form
    394,165.68/591,251.76 = 169,510.56/x
  3. Step 3: Cross multiply
    394,165.68x = 591,251.76 × 169,510.56
  4. Step 4: Simplify right side
    394,165.68x = 100,223,416,938.59
  5. Step 5: Solve for x
    x = 100,223,416,938.59/394,165.68
  6. Step 6: Final answer
    x = 254,267.23

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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.