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Finding the Fourth Proportional to 416,580.34, 624,892.36 and 132,293.56

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Solution

The fourth proportional to 416,580.34, 624,892.36 and 132,293.56 is: 198,447.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,580.34 : 624,892.36 = 132,293.56 : x
  2. Step 2: Convert to fraction form
    416,580.34/624,892.36 = 132,293.56/x
  3. Step 3: Cross multiply
    416,580.34x = 624,892.36 × 132,293.56
  4. Step 4: Simplify right side
    416,580.34x = 82,669,234,921.20
  5. Step 5: Solve for x
    x = 82,669,234,921.20/416,580.34
  6. Step 6: Final answer
    x = 198,447.28

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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.