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Finding the Fourth Proportional to 541,910.62, 747,826.86 and 300,192.44

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Solution

The fourth proportional to 541,910.62, 747,826.86 and 300,192.44 is: 414,260.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,910.62 : 747,826.86 = 300,192.44 : x
  2. Step 2: Convert to fraction form
    541,910.62/747,826.86 = 300,192.44/x
  3. Step 3: Cross multiply
    541,910.62x = 747,826.86 × 300,192.44
  4. Step 4: Simplify right side
    541,910.62x = 224,491,969,800.94
  5. Step 5: Solve for x
    x = 224,491,969,800.94/541,910.62
  6. Step 6: Final answer
    x = 414,260.14

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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.