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Finding the Fourth Proportional to 378,104.81, 567,323.96 and 200,568.24

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Solution

The fourth proportional to 378,104.81, 567,323.96 and 200,568.24 is: 300,940.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,104.81 : 567,323.96 = 200,568.24 : x
  2. Step 2: Convert to fraction form
    378,104.81/567,323.96 = 200,568.24/x
  3. Step 3: Cross multiply
    378,104.81x = 567,323.96 × 200,568.24
  4. Step 4: Simplify right side
    378,104.81x = 113,787,167,164.19
  5. Step 5: Solve for x
    x = 113,787,167,164.19/378,104.81
  6. Step 6: Final answer
    x = 300,940.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.