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Finding the Fourth Proportional to 363,469.38, 501,580.89 and 202,323.30

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Solution

The fourth proportional to 363,469.38, 501,580.89 and 202,323.30 is: 279,202.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,469.38 : 501,580.89 = 202,323.30 : x
  2. Step 2: Convert to fraction form
    363,469.38/501,580.89 = 202,323.30/x
  3. Step 3: Cross multiply
    363,469.38x = 501,580.89 × 202,323.30
  4. Step 4: Simplify right side
    363,469.38x = 101,481,500,881.74
  5. Step 5: Solve for x
    x = 101,481,500,881.74/363,469.38
  6. Step 6: Final answer
    x = 279,202.34

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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.