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Finding the Fourth Proportional to 364,321.41, 502,764.01 and 200,974.23

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Solution

The fourth proportional to 364,321.41, 502,764.01 and 200,974.23 is: 277,344.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,321.41 : 502,764.01 = 200,974.23 : x
  2. Step 2: Convert to fraction form
    364,321.41/502,764.01 = 200,974.23/x
  3. Step 3: Cross multiply
    364,321.41x = 502,764.01 × 200,974.23
  4. Step 4: Simplify right side
    364,321.41x = 101,042,609,781.46
  5. Step 5: Solve for x
    x = 101,042,609,781.46/364,321.41
  6. Step 6: Final answer
    x = 277,344.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.