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Finding the Fourth Proportional to 305,052.32, 420,971.92 and 170,917.28

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Solution

The fourth proportional to 305,052.32, 420,971.92 and 170,917.28 is: 235,865.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,052.32 : 420,971.92 = 170,917.28 : x
  2. Step 2: Convert to fraction form
    305,052.32/420,971.92 = 170,917.28/x
  3. Step 3: Cross multiply
    305,052.32x = 420,971.92 × 170,917.28
  4. Step 4: Simplify right side
    305,052.32x = 71,951,375,522.78
  5. Step 5: Solve for x
    x = 71,951,375,522.78/305,052.32
  6. Step 6: Final answer
    x = 235,865.69

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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.