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Finding the Fourth Proportional to 386,781.86, 580,171.98 and 218,225.72

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Solution

The fourth proportional to 386,781.86, 580,171.98 and 218,225.72 is: 327,338.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,781.86 : 580,171.98 = 218,225.72 : x
  2. Step 2: Convert to fraction form
    386,781.86/580,171.98 = 218,225.72/x
  3. Step 3: Cross multiply
    386,781.86x = 580,171.98 × 218,225.72
  4. Step 4: Simplify right side
    386,781.86x = 126,608,448,059.33
  5. Step 5: Solve for x
    x = 126,608,448,059.33/386,781.86
  6. Step 6: Final answer
    x = 327,338.12

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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.