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Finding the Fourth Proportional to 541,764.70, 811,899.70 and 408,498.49

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Solution

The fourth proportional to 541,764.70, 811,899.70 and 408,498.49 is: 612,184.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,764.70 : 811,899.70 = 408,498.49 : x
  2. Step 2: Convert to fraction form
    541,764.70/811,899.70 = 408,498.49/x
  3. Step 3: Cross multiply
    541,764.70x = 811,899.70 × 408,498.49
  4. Step 4: Simplify right side
    541,764.70x = 331,659,801,481.45
  5. Step 5: Solve for x
    x = 331,659,801,481.45/541,764.70
  6. Step 6: Final answer
    x = 612,184.22

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