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Finding the Fourth Proportional to 416,367.92, 624,169.14 and 150,063.24

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Solution

The fourth proportional to 416,367.92, 624,169.14 and 150,063.24 is: 224,956.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,367.92 : 624,169.14 = 150,063.24 : x
  2. Step 2: Convert to fraction form
    416,367.92/624,169.14 = 150,063.24/x
  3. Step 3: Cross multiply
    416,367.92x = 624,169.14 × 150,063.24
  4. Step 4: Simplify right side
    416,367.92x = 93,664,843,456.41
  5. Step 5: Solve for x
    x = 93,664,843,456.41/416,367.92
  6. Step 6: Final answer
    x = 224,956.92

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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.