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Finding the Fourth Proportional to 365,198.80, 503,976.82 and 204,060.64

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Solution

The fourth proportional to 365,198.80, 503,976.82 and 204,060.64 is: 281,605.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,198.80 : 503,976.82 = 204,060.64 : x
  2. Step 2: Convert to fraction form
    365,198.80/503,976.82 = 204,060.64/x
  3. Step 3: Cross multiply
    365,198.80x = 503,976.82 × 204,060.64
  4. Step 4: Simplify right side
    365,198.80x = 102,841,832,434.37
  5. Step 5: Solve for x
    x = 102,841,832,434.37/365,198.80
  6. Step 6: Final answer
    x = 281,605.07

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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.