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Finding the Fourth Proportional to 361,727.56, 542,704.26 and 217,791.16

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Solution

The fourth proportional to 361,727.56, 542,704.26 and 217,791.16 is: 326,754.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,727.56 : 542,704.26 = 217,791.16 : x
  2. Step 2: Convert to fraction form
    361,727.56/542,704.26 = 217,791.16/x
  3. Step 3: Cross multiply
    361,727.56x = 542,704.26 × 217,791.16
  4. Step 4: Simplify right side
    361,727.56x = 118,196,190,322.34
  5. Step 5: Solve for x
    x = 118,196,190,322.34/361,727.56
  6. Step 6: Final answer
    x = 326,754.73

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Why These Related Problems?

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