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Finding the Fourth Proportional to 416,408.76, 624,657.06 and 132,139.65

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Solution

The fourth proportional to 416,408.76, 624,657.06 and 132,139.65 is: 198,223.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,408.76 : 624,657.06 = 132,139.65 : x
  2. Step 2: Convert to fraction form
    416,408.76/624,657.06 = 132,139.65/x
  3. Step 3: Cross multiply
    416,408.76x = 624,657.06 × 132,139.65
  4. Step 4: Simplify right side
    416,408.76x = 82,541,965,278.43
  5. Step 5: Solve for x
    x = 82,541,965,278.43/416,408.76
  6. Step 6: Final answer
    x = 198,223.41

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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.