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Finding the Fourth Proportional to 492,772.62, 680,049.36 and 277,908.24

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Solution

The fourth proportional to 492,772.62, 680,049.36 and 277,908.24 is: 383,526.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,772.62 : 680,049.36 = 277,908.24 : x
  2. Step 2: Convert to fraction form
    492,772.62/680,049.36 = 277,908.24/x
  3. Step 3: Cross multiply
    492,772.62x = 680,049.36 × 277,908.24
  4. Step 4: Simplify right side
    492,772.62x = 188,991,320,750.73
  5. Step 5: Solve for x
    x = 188,991,320,750.73/492,772.62
  6. Step 6: Final answer
    x = 383,526.42

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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.