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Finding the Fourth Proportional to 364,933.22, 503,578.82 and 203,778.65

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Solution

The fourth proportional to 364,933.22, 503,578.82 and 203,778.65 is: 281,198.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,933.22 : 503,578.82 = 203,778.65 : x
  2. Step 2: Convert to fraction form
    364,933.22/503,578.82 = 203,778.65/x
  3. Step 3: Cross multiply
    364,933.22x = 503,578.82 × 203,778.65
  4. Step 4: Simplify right side
    364,933.22x = 102,618,613,876.59
  5. Step 5: Solve for x
    x = 102,618,613,876.59/364,933.22
  6. Step 6: Final answer
    x = 281,198.34

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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.