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Finding the Fourth Proportional to 416,462.38, 624,693.65 and 150,222.87

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Solution

The fourth proportional to 416,462.38, 624,693.65 and 150,222.87 is: 225,334.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,462.38 : 624,693.65 = 150,222.87 : x
  2. Step 2: Convert to fraction form
    416,462.38/624,693.65 = 150,222.87/x
  3. Step 3: Cross multiply
    416,462.38x = 624,693.65 × 150,222.87
  4. Step 4: Simplify right side
    416,462.38x = 93,843,273,067.66
  5. Step 5: Solve for x
    x = 93,843,273,067.66/416,462.38
  6. Step 6: Final answer
    x = 225,334.33

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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.