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Finding the Fourth Proportional to 361,295.91, 498,548.09 and 200,110.59

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Solution

The fourth proportional to 361,295.91, 498,548.09 and 200,110.59 is: 276,130.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,295.91 : 498,548.09 = 200,110.59 : x
  2. Step 2: Convert to fraction form
    361,295.91/498,548.09 = 200,110.59/x
  3. Step 3: Cross multiply
    361,295.91x = 498,548.09 × 200,110.59
  4. Step 4: Simplify right side
    361,295.91x = 99,764,752,933.55
  5. Step 5: Solve for x
    x = 99,764,752,933.55/361,295.91
  6. Step 6: Final answer
    x = 276,130.31

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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.