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Finding the Fourth Proportional to 285,821.76, 394,456.32 and 158,522.24

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Solution

The fourth proportional to 285,821.76, 394,456.32 and 158,522.24 is: 218,773.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,821.76 : 394,456.32 = 158,522.24 : x
  2. Step 2: Convert to fraction form
    285,821.76/394,456.32 = 158,522.24/x
  3. Step 3: Cross multiply
    285,821.76x = 394,456.32 × 158,522.24
  4. Step 4: Simplify right side
    285,821.76x = 62,530,099,428.56
  5. Step 5: Solve for x
    x = 62,530,099,428.56/285,821.76
  6. Step 6: Final answer
    x = 218,773.05

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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.