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Finding the Fourth Proportional to 365,391.80, 504,231.78 and 204,265.79

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Solution

The fourth proportional to 365,391.80, 504,231.78 and 204,265.79 is: 281,881.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,391.80 : 504,231.78 = 204,265.79 : x
  2. Step 2: Convert to fraction form
    365,391.80/504,231.78 = 204,265.79/x
  3. Step 3: Cross multiply
    365,391.80x = 504,231.78 × 204,265.79
  4. Step 4: Simplify right side
    365,391.80x = 102,997,300,363.65
  5. Step 5: Solve for x
    x = 102,997,300,363.65/365,391.80
  6. Step 6: Final answer
    x = 281,881.81

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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.