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Finding the Fourth Proportional to 431,912.68, 595,232.37 and 310,843.78

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Solution

The fourth proportional to 431,912.68, 595,232.37 and 310,843.78 is: 428,383.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,912.68 : 595,232.37 = 310,843.78 : x
  2. Step 2: Convert to fraction form
    431,912.68/595,232.37 = 310,843.78/x
  3. Step 3: Cross multiply
    431,912.68x = 595,232.37 × 310,843.78
  4. Step 4: Simplify right side
    431,912.68x = 185,024,279,255.33
  5. Step 5: Solve for x
    x = 185,024,279,255.33/431,912.68
  6. Step 6: Final answer
    x = 428,383.53

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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.