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Finding the Fourth Proportional to 416,255.96, 624,001.22 and 149,951.35

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Solution

The fourth proportional to 416,255.96, 624,001.22 and 149,951.35 is: 224,789.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,255.96 : 624,001.22 = 149,951.35 : x
  2. Step 2: Convert to fraction form
    416,255.96/624,001.22 = 149,951.35/x
  3. Step 3: Cross multiply
    416,255.96x = 624,001.22 × 149,951.35
  4. Step 4: Simplify right side
    416,255.96x = 93,569,825,933.21
  5. Step 5: Solve for x
    x = 93,569,825,933.21/416,255.96
  6. Step 6: Final answer
    x = 224,789.15

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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.