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Finding the Fourth Proportional to 331,682.32, 457,786.92 and 231,022

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Solution

The fourth proportional to 331,682.32, 457,786.92 and 231,022 is: 318,855.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,682.32 : 457,786.92 = 231,022 : x
  2. Step 2: Convert to fraction form
    331,682.32/457,786.92 = 231,022/x
  3. Step 3: Cross multiply
    331,682.32x = 457,786.92 × 231,022
  4. Step 4: Simplify right side
    331,682.32x = 105,758,849,832.24
  5. Step 5: Solve for x
    x = 105,758,849,832.24/331,682.32
  6. Step 6: Final answer
    x = 318,855.86

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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.