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Finding the Fourth Proportional to 275,350.80, 413,026.20 and 264,853.20

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Solution

The fourth proportional to 275,350.80, 413,026.20 and 264,853.20 is: 397,279.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,350.80 : 413,026.20 = 264,853.20 : x
  2. Step 2: Convert to fraction form
    275,350.80/413,026.20 = 264,853.20/x
  3. Step 3: Cross multiply
    275,350.80x = 413,026.20 × 264,853.20
  4. Step 4: Simplify right side
    275,350.80x = 109,391,310,753.84
  5. Step 5: Solve for x
    x = 109,391,310,753.84/275,350.80
  6. Step 6: Final answer
    x = 397,279.80

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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.