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Finding the Fourth Proportional to 541,764.20, 811,898.94 and 408,498

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Solution

The fourth proportional to 541,764.20, 811,898.94 and 408,498 is: 612,183.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,764.20 : 811,898.94 = 408,498 : x
  2. Step 2: Convert to fraction form
    541,764.20/811,898.94 = 408,498/x
  3. Step 3: Cross multiply
    541,764.20x = 811,898.94 × 408,498
  4. Step 4: Simplify right side
    541,764.20x = 331,659,093,192.12
  5. Step 5: Solve for x
    x = 331,659,093,192.12/541,764.20
  6. Step 6: Final answer
    x = 612,183.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.