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Finding the Fourth Proportional to 306,189.75, 422,517.92 and 170,215.42

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Solution

The fourth proportional to 306,189.75, 422,517.92 and 170,215.42 is: 234,883.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,189.75 : 422,517.92 = 170,215.42 : x
  2. Step 2: Convert to fraction form
    306,189.75/422,517.92 = 170,215.42/x
  3. Step 3: Cross multiply
    306,189.75x = 422,517.92 × 170,215.42
  4. Step 4: Simplify right side
    306,189.75x = 71,919,063,864.31
  5. Step 5: Solve for x
    x = 71,919,063,864.31/306,189.75
  6. Step 6: Final answer
    x = 234,883.97

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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.