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Finding the Fourth Proportional to 419,169.62, 628,375.24 and 152,867.75

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Solution

The fourth proportional to 419,169.62, 628,375.24 and 152,867.75 is: 229,163.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,169.62 : 628,375.24 = 152,867.75 : x
  2. Step 2: Convert to fraction form
    419,169.62/628,375.24 = 152,867.75/x
  3. Step 3: Cross multiply
    419,169.62x = 628,375.24 × 152,867.75
  4. Step 4: Simplify right side
    419,169.62x = 96,058,306,143.72
  5. Step 5: Solve for x
    x = 96,058,306,143.72/419,169.62
  6. Step 6: Final answer
    x = 229,163.33

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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.