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Finding the Fourth Proportional to 308,452.44, 425,539.10 and 200,983.26

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Solution

The fourth proportional to 308,452.44, 425,539.10 and 200,983.26 is: 277,275.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,452.44 : 425,539.10 = 200,983.26 : x
  2. Step 2: Convert to fraction form
    308,452.44/425,539.10 = 200,983.26/x
  3. Step 3: Cross multiply
    308,452.44x = 425,539.10 × 200,983.26
  4. Step 4: Simplify right side
    308,452.44x = 85,526,235,575.47
  5. Step 5: Solve for x
    x = 85,526,235,575.47/308,452.44
  6. Step 6: Final answer
    x = 277,275.28

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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.