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Finding the Fourth Proportional to 379,567, 523,757.10 and 209,778.04

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Solution

The fourth proportional to 379,567, 523,757.10 and 209,778.04 is: 289,468.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,567 : 523,757.10 = 209,778.04 : x
  2. Step 2: Convert to fraction form
    379,567/523,757.10 = 209,778.04/x
  3. Step 3: Cross multiply
    379,567x = 523,757.10 × 209,778.04
  4. Step 4: Simplify right side
    379,567x = 109,872,737,874.08
  5. Step 5: Solve for x
    x = 109,872,737,874.08/379,567
  6. Step 6: Final answer
    x = 289,468.63

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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.