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Finding the Fourth Proportional to 361,060.36, 498,291.34 and 199,930.40

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Solution

The fourth proportional to 361,060.36, 498,291.34 and 199,930.40 is: 275,919.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,060.36 : 498,291.34 = 199,930.40 : x
  2. Step 2: Convert to fraction form
    361,060.36/498,291.34 = 199,930.40/x
  3. Step 3: Cross multiply
    361,060.36x = 498,291.34 × 199,930.40
  4. Step 4: Simplify right side
    361,060.36x = 99,623,586,922.74
  5. Step 5: Solve for x
    x = 99,623,586,922.74/361,060.36
  6. Step 6: Final answer
    x = 275,919.48

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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.