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Finding the Fourth Proportional to 376,732.92, 519,891.57 and 206,977.98

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Solution

The fourth proportional to 376,732.92, 519,891.57 and 206,977.98 is: 285,629.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,732.92 : 519,891.57 = 206,977.98 : x
  2. Step 2: Convert to fraction form
    376,732.92/519,891.57 = 206,977.98/x
  3. Step 3: Cross multiply
    376,732.92x = 519,891.57 × 206,977.98
  4. Step 4: Simplify right side
    376,732.92x = 107,606,106,977.63
  5. Step 5: Solve for x
    x = 107,606,106,977.63/376,732.92
  6. Step 6: Final answer
    x = 285,629.69

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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.