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Finding the Fourth Proportional to 376,266.40, 519,244.94 and 204,179.96

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Solution

The fourth proportional to 376,266.40, 519,244.94 and 204,179.96 is: 281,766.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,266.40 : 519,244.94 = 204,179.96 : x
  2. Step 2: Convert to fraction form
    376,266.40/519,244.94 = 204,179.96/x
  3. Step 3: Cross multiply
    376,266.40x = 519,244.94 × 204,179.96
  4. Step 4: Simplify right side
    376,266.40x = 106,019,412,887.97
  5. Step 5: Solve for x
    x = 106,019,412,887.97/376,266.40
  6. Step 6: Final answer
    x = 281,766.89

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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.