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Finding the Fourth Proportional to 397,590.88, 548,690.52 and 227,857.80

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Solution

The fourth proportional to 397,590.88, 548,690.52 and 227,857.80 is: 314,452.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,590.88 : 548,690.52 = 227,857.80 : x
  2. Step 2: Convert to fraction form
    397,590.88/548,690.52 = 227,857.80/x
  3. Step 3: Cross multiply
    397,590.88x = 548,690.52 × 227,857.80
  4. Step 4: Simplify right side
    397,590.88x = 125,023,414,768.06
  5. Step 5: Solve for x
    x = 125,023,414,768.06/397,590.88
  6. Step 6: Final answer
    x = 314,452.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.