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Finding the Fourth Proportional to 365,257.27, 504,054.17 and 204,112.31

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Solution

The fourth proportional to 365,257.27, 504,054.17 and 204,112.31 is: 281,674.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,257.27 : 504,054.17 = 204,112.31 : x
  2. Step 2: Convert to fraction form
    365,257.27/504,054.17 = 204,112.31/x
  3. Step 3: Cross multiply
    365,257.27x = 504,054.17 × 204,112.31
  4. Step 4: Simplify right side
    365,257.27x = 102,883,661,003.83
  5. Step 5: Solve for x
    x = 102,883,661,003.83/365,257.27
  6. Step 6: Final answer
    x = 281,674.51

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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.