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Finding the Fourth Proportional to 285,855.89, 394,418.03 and 164,971.49

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Solution

The fourth proportional to 285,855.89, 394,418.03 and 164,971.49 is: 227,624.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,855.89 : 394,418.03 = 164,971.49 : x
  2. Step 2: Convert to fraction form
    285,855.89/394,418.03 = 164,971.49/x
  3. Step 3: Cross multiply
    285,855.89x = 394,418.03 × 164,971.49
  4. Step 4: Simplify right side
    285,855.89x = 65,067,727,295.02
  5. Step 5: Solve for x
    x = 65,067,727,295.02/285,855.89
  6. Step 6: Final answer
    x = 227,624.24

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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.