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Finding the Fourth Proportional to 363,049.96, 501,021.72 and 201,911.80

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Solution

The fourth proportional to 363,049.96, 501,021.72 and 201,911.80 is: 278,645.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,049.96 : 501,021.72 = 201,911.80 : x
  2. Step 2: Convert to fraction form
    363,049.96/501,021.72 = 201,911.80/x
  3. Step 3: Cross multiply
    363,049.96x = 501,021.72 × 201,911.80
  4. Step 4: Simplify right side
    363,049.96x = 101,162,197,324.30
  5. Step 5: Solve for x
    x = 101,162,197,324.30/363,049.96
  6. Step 6: Final answer
    x = 278,645.39

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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.