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Finding the Fourth Proportional to 376,704.78, 519,856.83 and 204,624.24

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Solution

The fourth proportional to 376,704.78, 519,856.83 and 204,624.24 is: 282,383.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,704.78 : 519,856.83 = 204,624.24 : x
  2. Step 2: Convert to fraction form
    376,704.78/519,856.83 = 204,624.24/x
  3. Step 3: Cross multiply
    376,704.78x = 519,856.83 × 204,624.24
  4. Step 4: Simplify right side
    376,704.78x = 106,375,308,747.56
  5. Step 5: Solve for x
    x = 106,375,308,747.56/376,704.78
  6. Step 6: Final answer
    x = 282,383.75

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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.