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Finding the Fourth Proportional to 386,808.67, 580,022.32 and 159,062.73

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Solution

The fourth proportional to 386,808.67, 580,022.32 and 159,062.73 is: 238,515.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,808.67 : 580,022.32 = 159,062.73 : x
  2. Step 2: Convert to fraction form
    386,808.67/580,022.32 = 159,062.73/x
  3. Step 3: Cross multiply
    386,808.67x = 580,022.32 × 159,062.73
  4. Step 4: Simplify right side
    386,808.67x = 92,259,933,680.13
  5. Step 5: Solve for x
    x = 92,259,933,680.13/386,808.67
  6. Step 6: Final answer
    x = 238,515.68

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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.