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Finding the Fourth Proportional to 312,982.57, 431,876.33 and 185,633.29

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Solution

The fourth proportional to 312,982.57, 431,876.33 and 185,633.29 is: 256,150.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,982.57 : 431,876.33 = 185,633.29 : x
  2. Step 2: Convert to fraction form
    312,982.57/431,876.33 = 185,633.29/x
  3. Step 3: Cross multiply
    312,982.57x = 431,876.33 × 185,633.29
  4. Step 4: Simplify right side
    312,982.57x = 80,170,624,011.03
  5. Step 5: Solve for x
    x = 80,170,624,011.03/312,982.57
  6. Step 6: Final answer
    x = 256,150.44

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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.