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Finding the Fourth Proportional to 365,294.76, 504,105.04 and 204,149.72

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Solution

The fourth proportional to 365,294.76, 504,105.04 and 204,149.72 is: 281,725.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,294.76 : 504,105.04 = 204,149.72 : x
  2. Step 2: Convert to fraction form
    365,294.76/504,105.04 = 204,149.72/x
  3. Step 3: Cross multiply
    365,294.76x = 504,105.04 × 204,149.72
  4. Step 4: Simplify right side
    365,294.76x = 102,912,902,766.59
  5. Step 5: Solve for x
    x = 102,912,902,766.59/365,294.76
  6. Step 6: Final answer
    x = 281,725.65

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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.