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Finding the Fourth Proportional to 363,920.23, 502,203.22 and 202,771.81

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Solution

The fourth proportional to 363,920.23, 502,203.22 and 202,771.81 is: 279,821.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,920.23 : 502,203.22 = 202,771.81 : x
  2. Step 2: Convert to fraction form
    363,920.23/502,203.22 = 202,771.81/x
  3. Step 3: Cross multiply
    363,920.23x = 502,203.22 × 202,771.81
  4. Step 4: Simplify right side
    363,920.23x = 101,832,654,144.79
  5. Step 5: Solve for x
    x = 101,832,654,144.79/363,920.23
  6. Step 6: Final answer
    x = 279,821.36

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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.