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Finding the Fourth Proportional to 335,511.50, 462,853.31 and 199,468.26

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Solution

The fourth proportional to 335,511.50, 462,853.31 and 199,468.26 is: 275,175.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,511.50 : 462,853.31 = 199,468.26 : x
  2. Step 2: Convert to fraction form
    335,511.50/462,853.31 = 199,468.26/x
  3. Step 3: Cross multiply
    335,511.50x = 462,853.31 × 199,468.26
  4. Step 4: Simplify right side
    335,511.50x = 92,324,541,069.33
  5. Step 5: Solve for x
    x = 92,324,541,069.33/335,511.50
  6. Step 6: Final answer
    x = 275,175.49

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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.