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Finding the Fourth Proportional to 365,211.58, 503,982.57 and 204,067.95

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Solution

The fourth proportional to 365,211.58, 503,982.57 and 204,067.95 is: 281,608.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,211.58 : 503,982.57 = 204,067.95 : x
  2. Step 2: Convert to fraction form
    365,211.58/503,982.57 = 204,067.95/x
  3. Step 3: Cross multiply
    365,211.58x = 503,982.57 × 204,067.95
  4. Step 4: Simplify right side
    365,211.58x = 102,846,689,895.63
  5. Step 5: Solve for x
    x = 102,846,689,895.63/365,211.58
  6. Step 6: Final answer
    x = 281,608.51

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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.