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Finding the Fourth Proportional to 327,149.24, 451,473.24 and 199,895

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Solution

The fourth proportional to 327,149.24, 451,473.24 and 199,895 is: 275,859.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,149.24 : 451,473.24 = 199,895 : x
  2. Step 2: Convert to fraction form
    327,149.24/451,473.24 = 199,895/x
  3. Step 3: Cross multiply
    327,149.24x = 451,473.24 × 199,895
  4. Step 4: Simplify right side
    327,149.24x = 90,247,243,309.80
  5. Step 5: Solve for x
    x = 90,247,243,309.80/327,149.24
  6. Step 6: Final answer
    x = 275,859.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.