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Finding the Fourth Proportional to 376,674.89, 519,815.10 and 204,596.19

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Solution

The fourth proportional to 376,674.89, 519,815.10 and 204,596.19 is: 282,344.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,674.89 : 519,815.10 = 204,596.19 : x
  2. Step 2: Convert to fraction form
    376,674.89/519,815.10 = 204,596.19/x
  3. Step 3: Cross multiply
    376,674.89x = 519,815.10 × 204,596.19
  4. Step 4: Simplify right side
    376,674.89x = 106,352,188,964.47
  5. Step 5: Solve for x
    x = 106,352,188,964.47/376,674.89
  6. Step 6: Final answer
    x = 282,344.78

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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.