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Finding the Fourth Proportional to 492,052.80, 738,141.72 and 192,494.97

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Solution

The fourth proportional to 492,052.80, 738,141.72 and 192,494.97 is: 288,766.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,052.80 : 738,141.72 = 192,494.97 : x
  2. Step 2: Convert to fraction form
    492,052.80/738,141.72 = 192,494.97/x
  3. Step 3: Cross multiply
    492,052.80x = 738,141.72 × 192,494.97
  4. Step 4: Simplify right side
    492,052.80x = 142,088,568,247.15
  5. Step 5: Solve for x
    x = 142,088,568,247.15/492,052.80
  6. Step 6: Final answer
    x = 288,766.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.