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Finding the Fourth Proportional to 370,542.88, 511,350.96 and 200,776.96

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Solution

The fourth proportional to 370,542.88, 511,350.96 and 200,776.96 is: 277,073.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,542.88 : 511,350.96 = 200,776.96 : x
  2. Step 2: Convert to fraction form
    370,542.88/511,350.96 = 200,776.96/x
  3. Step 3: Cross multiply
    370,542.88x = 511,350.96 × 200,776.96
  4. Step 4: Simplify right side
    370,542.88x = 102,667,491,241.88
  5. Step 5: Solve for x
    x = 102,667,491,241.88/370,542.88
  6. Step 6: Final answer
    x = 277,073.17

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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.