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Finding the Fourth Proportional to 397,182.29, 548,109.34 and 225,132.78

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Solution

The fourth proportional to 397,182.29, 548,109.34 and 225,132.78 is: 310,681.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,182.29 : 548,109.34 = 225,132.78 : x
  2. Step 2: Convert to fraction form
    397,182.29/548,109.34 = 225,132.78/x
  3. Step 3: Cross multiply
    397,182.29x = 548,109.34 × 225,132.78
  4. Step 4: Simplify right side
    397,182.29x = 123,397,378,895.33
  5. Step 5: Solve for x
    x = 123,397,378,895.33/397,182.29
  6. Step 6: Final answer
    x = 310,681.97

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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.