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Finding the Fourth Proportional to 492,940.80, 739,411.20 and 177,356.70

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Solution

The fourth proportional to 492,940.80, 739,411.20 and 177,356.70 is: 266,035.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,940.80 : 739,411.20 = 177,356.70 : x
  2. Step 2: Convert to fraction form
    492,940.80/739,411.20 = 177,356.70/x
  3. Step 3: Cross multiply
    492,940.80x = 739,411.20 × 177,356.70
  4. Step 4: Simplify right side
    492,940.80x = 131,139,530,375.04
  5. Step 5: Solve for x
    x = 131,139,530,375.04/492,940.80
  6. Step 6: Final answer
    x = 266,035.05

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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.