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Finding the Fourth Proportional to 502,633.28, 693,640.96 and 273,190.50

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Solution

The fourth proportional to 502,633.28, 693,640.96 and 273,190.50 is: 377,006.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,633.28 : 693,640.96 = 273,190.50 : x
  2. Step 2: Convert to fraction form
    502,633.28/693,640.96 = 273,190.50/x
  3. Step 3: Cross multiply
    502,633.28x = 693,640.96 × 273,190.50
  4. Step 4: Simplify right side
    502,633.28x = 189,496,120,682.88
  5. Step 5: Solve for x
    x = 189,496,120,682.88/502,633.28
  6. Step 6: Final answer
    x = 377,006.71

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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.