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Finding the Fourth Proportional to 416,651.31, 624,972.33 and 132,334.25

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Solution

The fourth proportional to 416,651.31, 624,972.33 and 132,334.25 is: 198,499.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,651.31 : 624,972.33 = 132,334.25 : x
  2. Step 2: Convert to fraction form
    416,651.31/624,972.33 = 132,334.25/x
  3. Step 3: Cross multiply
    416,651.31x = 624,972.33 × 132,334.25
  4. Step 4: Simplify right side
    416,651.31x = 82,705,241,436.44
  5. Step 5: Solve for x
    x = 82,705,241,436.44/416,651.31
  6. Step 6: Final answer
    x = 198,499.90

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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.