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Finding the Fourth Proportional to 285,648.96, 394,321.13 and 199,944.55

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Solution

The fourth proportional to 285,648.96, 394,321.13 and 199,944.55 is: 276,011.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,648.96 : 394,321.13 = 199,944.55 : x
  2. Step 2: Convert to fraction form
    285,648.96/394,321.13 = 199,944.55/x
  3. Step 3: Cross multiply
    285,648.96x = 394,321.13 × 199,944.55
  4. Step 4: Simplify right side
    285,648.96x = 78,842,361,136.31
  5. Step 5: Solve for x
    x = 78,842,361,136.31/285,648.96
  6. Step 6: Final answer
    x = 276,011.37

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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.