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Finding the Fourth Proportional to 376,578.56, 519,677.78 and 206,812.69

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Solution

The fourth proportional to 376,578.56, 519,677.78 and 206,812.69 is: 285,401.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,578.56 : 519,677.78 = 206,812.69 : x
  2. Step 2: Convert to fraction form
    376,578.56/519,677.78 = 206,812.69/x
  3. Step 3: Cross multiply
    376,578.56x = 519,677.78 × 206,812.69
  4. Step 4: Simplify right side
    376,578.56x = 107,475,957,281.77
  5. Step 5: Solve for x
    x = 107,475,957,281.77/376,578.56
  6. Step 6: Final answer
    x = 285,401.16

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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.