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Finding the Fourth Proportional to 363,709.20, 501,859.89 and 202,563.75

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Solution

The fourth proportional to 363,709.20, 501,859.89 and 202,563.75 is: 279,505.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,709.20 : 501,859.89 = 202,563.75 : x
  2. Step 2: Convert to fraction form
    363,709.20/501,859.89 = 202,563.75/x
  3. Step 3: Cross multiply
    363,709.20x = 501,859.89 × 202,563.75
  4. Step 4: Simplify right side
    363,709.20x = 101,658,621,292.99
  5. Step 5: Solve for x
    x = 101,658,621,292.99/363,709.20
  6. Step 6: Final answer
    x = 279,505.22

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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.