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Finding the Fourth Proportional to 376,594.74, 519,704.82 and 206,828.84

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Solution

The fourth proportional to 376,594.74, 519,704.82 and 206,828.84 is: 285,426.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,594.74 : 519,704.82 = 206,828.84 : x
  2. Step 2: Convert to fraction form
    376,594.74/519,704.82 = 206,828.84/x
  3. Step 3: Cross multiply
    376,594.74x = 519,704.82 × 206,828.84
  4. Step 4: Simplify right side
    376,594.74x = 107,489,945,063.01
  5. Step 5: Solve for x
    x = 107,489,945,063.01/376,594.74
  6. Step 6: Final answer
    x = 285,426.04

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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.