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Finding the Fourth Proportional to 376,513.50, 519,592.26 and 206,751.30

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Solution

The fourth proportional to 376,513.50, 519,592.26 and 206,751.30 is: 285,318.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,513.50 : 519,592.26 = 206,751.30 : x
  2. Step 2: Convert to fraction form
    376,513.50/519,592.26 = 206,751.30/x
  3. Step 3: Cross multiply
    376,513.50x = 519,592.26 × 206,751.30
  4. Step 4: Simplify right side
    376,513.50x = 107,426,375,224.94
  5. Step 5: Solve for x
    x = 107,426,375,224.94/376,513.50
  6. Step 6: Final answer
    x = 285,318.79

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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.