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Finding the Fourth Proportional to 335,511.63, 462,853.48 and 199,468.38

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Solution

The fourth proportional to 335,511.63, 462,853.48 and 199,468.38 is: 275,175.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,511.63 : 462,853.48 = 199,468.38 : x
  2. Step 2: Convert to fraction form
    335,511.63/462,853.48 = 199,468.38/x
  3. Step 3: Cross multiply
    335,511.63x = 462,853.48 × 199,468.38
  4. Step 4: Simplify right side
    335,511.63x = 92,324,632,835.62
  5. Step 5: Solve for x
    x = 92,324,632,835.62/335,511.63
  6. Step 6: Final answer
    x = 275,175.66

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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.