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Finding the Fourth Proportional to 277,169.58, 415,542.42 and 229,638.78

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Solution

The fourth proportional to 277,169.58, 415,542.42 and 229,638.78 is: 344,282.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,169.58 : 415,542.42 = 229,638.78 : x
  2. Step 2: Convert to fraction form
    277,169.58/415,542.42 = 229,638.78/x
  3. Step 3: Cross multiply
    277,169.58x = 415,542.42 × 229,638.78
  4. Step 4: Simplify right side
    277,169.58x = 95,424,654,367.05
  5. Step 5: Solve for x
    x = 95,424,654,367.05/277,169.58
  6. Step 6: Final answer
    x = 344,282.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.