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Finding the Fourth Proportional to 277,481.20, 415,300.20 and 194,537.20

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Solution

The fourth proportional to 277,481.20, 415,300.20 and 194,537.20 is: 291,159.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,481.20 : 415,300.20 = 194,537.20 : x
  2. Step 2: Convert to fraction form
    277,481.20/415,300.20 = 194,537.20/x
  3. Step 3: Cross multiply
    277,481.20x = 415,300.20 × 194,537.20
  4. Step 4: Simplify right side
    277,481.20x = 80,791,338,067.44
  5. Step 5: Solve for x
    x = 80,791,338,067.44/277,481.20
  6. Step 6: Final answer
    x = 291,159.68

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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.