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Finding the Fourth Proportional to 322,784, 445,441.92 and 181,472

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Solution

The fourth proportional to 322,784, 445,441.92 and 181,472 is: 250,431.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,784 : 445,441.92 = 181,472 : x
  2. Step 2: Convert to fraction form
    322,784/445,441.92 = 181,472/x
  3. Step 3: Cross multiply
    322,784x = 445,441.92 × 181,472
  4. Step 4: Simplify right side
    322,784x = 80,835,236,106.24
  5. Step 5: Solve for x
    x = 80,835,236,106.24/322,784
  6. Step 6: Final answer
    x = 250,431.36

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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.