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Finding the Fourth Proportional to 326,132.80, 449,872.32 and 205,082.56

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Solution

The fourth proportional to 326,132.80, 449,872.32 and 205,082.56 is: 282,893.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,132.80 : 449,872.32 = 205,082.56 : x
  2. Step 2: Convert to fraction form
    326,132.80/449,872.32 = 205,082.56/x
  3. Step 3: Cross multiply
    326,132.80x = 449,872.32 × 205,082.56
  4. Step 4: Simplify right side
    326,132.80x = 92,260,967,058.74
  5. Step 5: Solve for x
    x = 92,260,967,058.74/326,132.80
  6. Step 6: Final answer
    x = 282,893.86

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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.