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Finding the Fourth Proportional to 363,791.46, 501,965.60 and 202,642.50

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Solution

The fourth proportional to 363,791.46, 501,965.60 and 202,642.50 is: 279,609.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,791.46 : 501,965.60 = 202,642.50 : x
  2. Step 2: Convert to fraction form
    363,791.46/501,965.60 = 202,642.50/x
  3. Step 3: Cross multiply
    363,791.46x = 501,965.60 × 202,642.50
  4. Step 4: Simplify right side
    363,791.46x = 101,719,563,084.79
  5. Step 5: Solve for x
    x = 101,719,563,084.79/363,791.46
  6. Step 6: Final answer
    x = 279,609.54

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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.