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Finding the Fourth Proportional to 361,051.35, 498,266.43 and 199,906.41

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Solution

The fourth proportional to 361,051.35, 498,266.43 and 199,906.41 is: 275,879.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,051.35 : 498,266.43 = 199,906.41 : x
  2. Step 2: Convert to fraction form
    361,051.35/498,266.43 = 199,906.41/x
  3. Step 3: Cross multiply
    361,051.35x = 498,266.43 × 199,906.41
  4. Step 4: Simplify right side
    361,051.35x = 99,606,653,244.82
  5. Step 5: Solve for x
    x = 99,606,653,244.82/361,051.35
  6. Step 6: Final answer
    x = 275,879.46

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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.