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Finding the Fourth Proportional to 492,052.68, 738,141.54 and 192,494.83

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Solution

The fourth proportional to 492,052.68, 738,141.54 and 192,494.83 is: 288,766.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,052.68 : 738,141.54 = 192,494.83 : x
  2. Step 2: Convert to fraction form
    492,052.68/738,141.54 = 192,494.83/x
  3. Step 3: Cross multiply
    492,052.68x = 738,141.54 × 192,494.83
  4. Step 4: Simplify right side
    492,052.68x = 142,088,430,258.24
  5. Step 5: Solve for x
    x = 142,088,430,258.24/492,052.68
  6. Step 6: Final answer
    x = 288,766.70

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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.