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Finding the Fourth Proportional to 275,382.20, 413,948.10 and 259,635.80

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Solution

The fourth proportional to 275,382.20, 413,948.10 and 259,635.80 is: 390,278.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,382.20 : 413,948.10 = 259,635.80 : x
  2. Step 2: Convert to fraction form
    275,382.20/413,948.10 = 259,635.80/x
  3. Step 3: Cross multiply
    275,382.20x = 413,948.10 × 259,635.80
  4. Step 4: Simplify right side
    275,382.20x = 107,475,746,101.98
  5. Step 5: Solve for x
    x = 107,475,746,101.98/275,382.20
  6. Step 6: Final answer
    x = 390,278.48

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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.