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Finding the Fourth Proportional to 492,722.80, 739,084.20 and 177,138.70

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Solution

The fourth proportional to 492,722.80, 739,084.20 and 177,138.70 is: 265,708.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,722.80 : 739,084.20 = 177,138.70 : x
  2. Step 2: Convert to fraction form
    492,722.80/739,084.20 = 177,138.70/x
  3. Step 3: Cross multiply
    492,722.80x = 739,084.20 × 177,138.70
  4. Step 4: Simplify right side
    492,722.80x = 130,920,414,378.54
  5. Step 5: Solve for x
    x = 130,920,414,378.54/492,722.80
  6. Step 6: Final answer
    x = 265,708.05

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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.