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Finding the Fourth Proportional to 361,221.38, 498,467.71 and 197,878.59

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Solution

The fourth proportional to 361,221.38, 498,467.71 and 197,878.59 is: 273,062.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,221.38 : 498,467.71 = 197,878.59 : x
  2. Step 2: Convert to fraction form
    361,221.38/498,467.71 = 197,878.59/x
  3. Step 3: Cross multiply
    361,221.38x = 498,467.71 × 197,878.59
  4. Step 4: Simplify right side
    361,221.38x = 98,636,087,615.33
  5. Step 5: Solve for x
    x = 98,636,087,615.33/361,221.38
  6. Step 6: Final answer
    x = 273,062.71

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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.