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Finding the Fourth Proportional to 376,422.54, 519,463.44 and 204,340.38

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Solution

The fourth proportional to 376,422.54, 519,463.44 and 204,340.38 is: 281,989.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,422.54 : 519,463.44 = 204,340.38 : x
  2. Step 2: Convert to fraction form
    376,422.54/519,463.44 = 204,340.38/x
  3. Step 3: Cross multiply
    376,422.54x = 519,463.44 × 204,340.38
  4. Step 4: Simplify right side
    376,422.54x = 106,147,356,725.71
  5. Step 5: Solve for x
    x = 106,147,356,725.71/376,422.54
  6. Step 6: Final answer
    x = 281,989.91

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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.