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Finding the Fourth Proportional to 307,503.14, 424,209.66 and 200,033.96

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Solution

The fourth proportional to 307,503.14, 424,209.66 and 200,033.96 is: 275,952.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,503.14 : 424,209.66 = 200,033.96 : x
  2. Step 2: Convert to fraction form
    307,503.14/424,209.66 = 200,033.96/x
  3. Step 3: Cross multiply
    307,503.14x = 424,209.66 × 200,033.96
  4. Step 4: Simplify right side
    307,503.14x = 84,856,335,288.88
  5. Step 5: Solve for x
    x = 84,856,335,288.88/307,503.14
  6. Step 6: Final answer
    x = 275,952.75

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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.