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Finding the Fourth Proportional to 361,542.30, 498,927.52 and 198,198.52

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Solution

The fourth proportional to 361,542.30, 498,927.52 and 198,198.52 is: 273,513.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,542.30 : 498,927.52 = 198,198.52 : x
  2. Step 2: Convert to fraction form
    361,542.30/498,927.52 = 198,198.52/x
  3. Step 3: Cross multiply
    361,542.30x = 498,927.52 × 198,198.52
  4. Step 4: Simplify right side
    361,542.30x = 98,886,696,051.27
  5. Step 5: Solve for x
    x = 98,886,696,051.27/361,542.30
  6. Step 6: Final answer
    x = 273,513.49

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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.