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Finding the Fourth Proportional to 275,876.58, 413,847.27 and 98,408.82

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Solution

The fourth proportional to 275,876.58, 413,847.27 and 98,408.82 is: 147,624.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,876.58 : 413,847.27 = 98,408.82 : x
  2. Step 2: Convert to fraction form
    275,876.58/413,847.27 = 98,408.82/x
  3. Step 3: Cross multiply
    275,876.58x = 413,847.27 × 98,408.82
  4. Step 4: Simplify right side
    275,876.58x = 40,726,221,500.92
  5. Step 5: Solve for x
    x = 40,726,221,500.92/275,876.58
  6. Step 6: Final answer
    x = 147,624.79

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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.