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Finding the Fourth Proportional to 285,769.62, 394,361.97 and 154,947.38

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Solution

The fourth proportional to 285,769.62, 394,361.97 and 154,947.38 is: 213,827.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,769.62 : 394,361.97 = 154,947.38 : x
  2. Step 2: Convert to fraction form
    285,769.62/394,361.97 = 154,947.38/x
  3. Step 3: Cross multiply
    285,769.62x = 394,361.97 × 154,947.38
  4. Step 4: Simplify right side
    285,769.62x = 61,105,353,688.56
  5. Step 5: Solve for x
    x = 61,105,353,688.56/285,769.62
  6. Step 6: Final answer
    x = 213,827.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.