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Finding the Fourth Proportional to 275,408.46, 413,054.37 and 88,376.22

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Solution

The fourth proportional to 275,408.46, 413,054.37 and 88,376.22 is: 132,545.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,408.46 : 413,054.37 = 88,376.22 : x
  2. Step 2: Convert to fraction form
    275,408.46/413,054.37 = 88,376.22/x
  3. Step 3: Cross multiply
    275,408.46x = 413,054.37 × 88,376.22
  4. Step 4: Simplify right side
    275,408.46x = 36,504,183,875.08
  5. Step 5: Solve for x
    x = 36,504,183,875.08/275,408.46
  6. Step 6: Final answer
    x = 132,545.62

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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.