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Finding the Fourth Proportional to 285,806, 394,383.85 and 164,986.21

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Solution

The fourth proportional to 285,806, 394,383.85 and 164,986.21 is: 227,664.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,806 : 394,383.85 = 164,986.21 : x
  2. Step 2: Convert to fraction form
    285,806/394,383.85 = 164,986.21/x
  3. Step 3: Cross multiply
    285,806x = 394,383.85 × 164,986.21
  4. Step 4: Simplify right side
    285,806x = 65,067,896,696.71
  5. Step 5: Solve for x
    x = 65,067,896,696.71/285,806
  6. Step 6: Final answer
    x = 227,664.56

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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.