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Finding the Fourth Proportional to 363,769.88, 501,976.62 and 200,419.16

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Solution

The fourth proportional to 363,769.88, 501,976.62 and 200,419.16 is: 276,564.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,769.88 : 501,976.62 = 200,419.16 : x
  2. Step 2: Convert to fraction form
    363,769.88/501,976.62 = 200,419.16/x
  3. Step 3: Cross multiply
    363,769.88x = 501,976.62 × 200,419.16
  4. Step 4: Simplify right side
    363,769.88x = 100,605,732,520.04
  5. Step 5: Solve for x
    x = 100,605,732,520.04/363,769.88
  6. Step 6: Final answer
    x = 276,564.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.