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Finding the Fourth Proportional to 416,438.88, 624,736.56 and 132,117.60

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Solution

The fourth proportional to 416,438.88, 624,736.56 and 132,117.60 is: 198,201.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,438.88 : 624,736.56 = 132,117.60 : x
  2. Step 2: Convert to fraction form
    416,438.88/624,736.56 = 132,117.60/x
  3. Step 3: Cross multiply
    416,438.88x = 624,736.56 × 132,117.60
  4. Step 4: Simplify right side
    416,438.88x = 82,538,694,939.46
  5. Step 5: Solve for x
    x = 82,538,694,939.46/416,438.88
  6. Step 6: Final answer
    x = 198,201.22

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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.