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Finding the Fourth Proportional to 416,560.43, 624,711.49 and 150,286.34

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Solution

The fourth proportional to 416,560.43, 624,711.49 and 150,286.34 is: 225,382.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,560.43 : 624,711.49 = 150,286.34 : x
  2. Step 2: Convert to fraction form
    416,560.43/624,711.49 = 150,286.34/x
  3. Step 3: Cross multiply
    416,560.43x = 624,711.49 × 150,286.34
  4. Step 4: Simplify right side
    416,560.43x = 93,885,603,388.05
  5. Step 5: Solve for x
    x = 93,885,603,388.05/416,560.43
  6. Step 6: Final answer
    x = 225,382.91

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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.