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Finding the Fourth Proportional to 363,769.38, 501,975.93 and 200,418.66

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Solution

The fourth proportional to 363,769.38, 501,975.93 and 200,418.66 is: 276,563.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,769.38 : 501,975.93 = 200,418.66 : x
  2. Step 2: Convert to fraction form
    363,769.38/501,975.93 = 200,418.66/x
  3. Step 3: Cross multiply
    363,769.38x = 501,975.93 × 200,418.66
  4. Step 4: Simplify right side
    363,769.38x = 100,605,343,242.85
  5. Step 5: Solve for x
    x = 100,605,343,242.85/363,769.38
  6. Step 6: Final answer
    x = 276,563.53

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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.