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Finding the Fourth Proportional to 361,104.05, 498,323.27 and 199,959.10

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Solution

The fourth proportional to 361,104.05, 498,323.27 and 199,959.10 is: 275,943.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,104.05 : 498,323.27 = 199,959.10 : x
  2. Step 2: Convert to fraction form
    361,104.05/498,323.27 = 199,959.10/x
  3. Step 3: Cross multiply
    361,104.05x = 498,323.27 × 199,959.10
  4. Step 4: Simplify right side
    361,104.05x = 99,644,272,578.26
  5. Step 5: Solve for x
    x = 99,644,272,578.26/361,104.05
  6. Step 6: Final answer
    x = 275,943.38

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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.