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Finding the Fourth Proportional to 331,684.32, 457,789.70 and 231,024

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Solution

The fourth proportional to 331,684.32, 457,789.70 and 231,024 is: 318,858.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,684.32 : 457,789.70 = 231,024 : x
  2. Step 2: Convert to fraction form
    331,684.32/457,789.70 = 231,024/x
  3. Step 3: Cross multiply
    331,684.32x = 457,789.70 × 231,024
  4. Step 4: Simplify right side
    331,684.32x = 105,760,407,652.80
  5. Step 5: Solve for x
    x = 105,760,407,652.80/331,684.32
  6. Step 6: Final answer
    x = 318,858.63

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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.