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Finding the Fourth Proportional to 335,513.62, 462,856.24 and 199,470.38

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Solution

The fourth proportional to 335,513.62, 462,856.24 and 199,470.38 is: 275,178.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,513.62 : 462,856.24 = 199,470.38 : x
  2. Step 2: Convert to fraction form
    335,513.62/462,856.24 = 199,470.38/x
  3. Step 3: Cross multiply
    335,513.62x = 462,856.24 × 199,470.38
  4. Step 4: Simplify right side
    335,513.62x = 92,326,110,078.17
  5. Step 5: Solve for x
    x = 92,326,110,078.17/335,513.62
  6. Step 6: Final answer
    x = 275,178.43

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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.