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Finding the Fourth Proportional to 300,956.36, 415,033.26 and 180,078.44

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Solution

The fourth proportional to 300,956.36, 415,033.26 and 180,078.44 is: 248,336.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,956.36 : 415,033.26 = 180,078.44 : x
  2. Step 2: Convert to fraction form
    300,956.36/415,033.26 = 180,078.44/x
  3. Step 3: Cross multiply
    300,956.36x = 415,033.26 × 180,078.44
  4. Step 4: Simplify right side
    300,956.36x = 74,738,542,008.91
  5. Step 5: Solve for x
    x = 74,738,542,008.91/300,956.36
  6. Step 6: Final answer
    x = 248,336.81

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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.