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Finding the Fourth Proportional to 275,791.80, 413,298.90 and 170,297.40

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Solution

The fourth proportional to 275,791.80, 413,298.90 and 170,297.40 is: 255,206.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,791.80 : 413,298.90 = 170,297.40 : x
  2. Step 2: Convert to fraction form
    275,791.80/413,298.90 = 170,297.40/x
  3. Step 3: Cross multiply
    275,791.80x = 413,298.90 × 170,297.40
  4. Step 4: Simplify right side
    275,791.80x = 70,383,728,092.86
  5. Step 5: Solve for x
    x = 70,383,728,092.86/275,791.80
  6. Step 6: Final answer
    x = 255,206.02

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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.