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Finding the Fourth Proportional to 364,083.72, 502,452.78 and 202,939.92

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Solution

The fourth proportional to 364,083.72, 502,452.78 and 202,939.92 is: 280,066.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,083.72 : 502,452.78 = 202,939.92 : x
  2. Step 2: Convert to fraction form
    364,083.72/502,452.78 = 202,939.92/x
  3. Step 3: Cross multiply
    364,083.72x = 502,452.78 × 202,939.92
  4. Step 4: Simplify right side
    364,083.72x = 101,967,726,976.98
  5. Step 5: Solve for x
    x = 101,967,726,976.98/364,083.72
  6. Step 6: Final answer
    x = 280,066.70

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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.