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Finding the Fourth Proportional to 365,236.58, 504,016.80 and 204,092.96

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Solution

The fourth proportional to 365,236.58, 504,016.80 and 204,092.96 is: 281,642.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,236.58 : 504,016.80 = 204,092.96 : x
  2. Step 2: Convert to fraction form
    365,236.58/504,016.80 = 204,092.96/x
  3. Step 3: Cross multiply
    365,236.58x = 504,016.80 × 204,092.96
  4. Step 4: Simplify right side
    365,236.58x = 102,866,278,081.64
  5. Step 5: Solve for x
    x = 102,866,278,081.64/365,236.58
  6. Step 6: Final answer
    x = 281,642.87

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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.