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Finding the Fourth Proportional to 378,146.27, 567,217.34 and 218,118.47

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Solution

The fourth proportional to 378,146.27, 567,217.34 and 218,118.47 is: 327,176.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,146.27 : 567,217.34 = 218,118.47 : x
  2. Step 2: Convert to fraction form
    378,146.27/567,217.34 = 218,118.47/x
  3. Step 3: Cross multiply
    378,146.27x = 567,217.34 × 218,118.47
  4. Step 4: Simplify right side
    378,146.27x = 123,720,576,067.48
  5. Step 5: Solve for x
    x = 123,720,576,067.48/378,146.27
  6. Step 6: Final answer
    x = 327,176.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.