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Finding the Fourth Proportional to 312,382.50, 431,165.61 and 178,324.26

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Solution

The fourth proportional to 312,382.50, 431,165.61 and 178,324.26 is: 246,131.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,382.50 : 431,165.61 = 178,324.26 : x
  2. Step 2: Convert to fraction form
    312,382.50/431,165.61 = 178,324.26/x
  3. Step 3: Cross multiply
    312,382.50x = 431,165.61 × 178,324.26
  4. Step 4: Simplify right side
    312,382.50x = 76,887,288,340.70
  5. Step 5: Solve for x
    x = 76,887,288,340.70/312,382.50
  6. Step 6: Final answer
    x = 246,131.87

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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.