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Finding the Fourth Proportional to 361,297.44, 498,590.49 and 197,954.64

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Solution

The fourth proportional to 361,297.44, 498,590.49 and 197,954.64 is: 273,177.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,297.44 : 498,590.49 = 197,954.64 : x
  2. Step 2: Convert to fraction form
    361,297.44/498,590.49 = 197,954.64/x
  3. Step 3: Cross multiply
    361,297.44x = 498,590.49 × 197,954.64
  4. Step 4: Simplify right side
    361,297.44x = 98,698,300,955.37
  5. Step 5: Solve for x
    x = 98,698,300,955.37/361,297.44
  6. Step 6: Final answer
    x = 273,177.42

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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.