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Finding the Fourth Proportional to 214,924.70, 322,731.30 and 170,917.40

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Solution

The fourth proportional to 214,924.70, 322,731.30 and 170,917.40 is: 256,649.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,924.70 : 322,731.30 = 170,917.40 : x
  2. Step 2: Convert to fraction form
    214,924.70/322,731.30 = 170,917.40/x
  3. Step 3: Cross multiply
    214,924.70x = 322,731.30 × 170,917.40
  4. Step 4: Simplify right side
    214,924.70x = 55,160,394,694.62
  5. Step 5: Solve for x
    x = 55,160,394,694.62/214,924.70
  6. Step 6: Final answer
    x = 256,649.86

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