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Finding the Fourth Proportional to 285,724.30, 394,309.12 and 158,392.30

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Solution

The fourth proportional to 285,724.30, 394,309.12 and 158,392.30 is: 218,586.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,724.30 : 394,309.12 = 158,392.30 : x
  2. Step 2: Convert to fraction form
    285,724.30/394,309.12 = 158,392.30/x
  3. Step 3: Cross multiply
    285,724.30x = 394,309.12 × 158,392.30
  4. Step 4: Simplify right side
    285,724.30x = 62,455,526,456.23
  5. Step 5: Solve for x
    x = 62,455,526,456.23/285,724.30
  6. Step 6: Final answer
    x = 218,586.68

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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.