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Finding the Fourth Proportional to 416,154.36, 623,856.78 and 149,727.56

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Solution

The fourth proportional to 416,154.36, 623,856.78 and 149,727.56 is: 224,456.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,154.36 : 623,856.78 = 149,727.56 : x
  2. Step 2: Convert to fraction form
    416,154.36/623,856.78 = 149,727.56/x
  3. Step 3: Cross multiply
    416,154.36x = 623,856.78 × 149,727.56
  4. Step 4: Simplify right side
    416,154.36x = 93,408,553,458.86
  5. Step 5: Solve for x
    x = 93,408,553,458.86/416,154.36
  6. Step 6: Final answer
    x = 224,456.51

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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.