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Finding the Fourth Proportional to 327,427.47, 451,809.50 and 206,523.09

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Solution

The fourth proportional to 327,427.47, 451,809.50 and 206,523.09 is: 284,976.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,427.47 : 451,809.50 = 206,523.09 : x
  2. Step 2: Convert to fraction form
    327,427.47/451,809.50 = 206,523.09/x
  3. Step 3: Cross multiply
    327,427.47x = 451,809.50 × 206,523.09
  4. Step 4: Simplify right side
    327,427.47x = 93,309,092,998.74
  5. Step 5: Solve for x
    x = 93,309,092,998.74/327,427.47
  6. Step 6: Final answer
    x = 284,976.37

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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.