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Finding the Fourth Proportional to 492,770.62, 680,046.60 and 277,906.24

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Solution

The fourth proportional to 492,770.62, 680,046.60 and 277,906.24 is: 383,523.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,770.62 : 680,046.60 = 277,906.24 : x
  2. Step 2: Convert to fraction form
    492,770.62/680,046.60 = 277,906.24/x
  3. Step 3: Cross multiply
    492,770.62x = 680,046.60 × 277,906.24
  4. Step 4: Simplify right side
    492,770.62x = 188,989,193,630.78
  5. Step 5: Solve for x
    x = 188,989,193,630.78/492,770.62
  6. Step 6: Final answer
    x = 383,523.66

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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.