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Finding the Fourth Proportional to 496,013.96, 684,517.62 and 275,257.48

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Solution

The fourth proportional to 496,013.96, 684,517.62 and 275,257.48 is: 379,865.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,013.96 : 684,517.62 = 275,257.48 : x
  2. Step 2: Convert to fraction form
    496,013.96/684,517.62 = 275,257.48/x
  3. Step 3: Cross multiply
    496,013.96x = 684,517.62 × 275,257.48
  4. Step 4: Simplify right side
    496,013.96x = 188,418,595,096.80
  5. Step 5: Solve for x
    x = 188,418,595,096.80/496,013.96
  6. Step 6: Final answer
    x = 379,865.51

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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.