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Finding the Fourth Proportional to 294,219.92, 440,942.52 and 116,630.12

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Solution

The fourth proportional to 294,219.92, 440,942.52 and 116,630.12 is: 174,791.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,219.92 : 440,942.52 = 116,630.12 : x
  2. Step 2: Convert to fraction form
    294,219.92/440,942.52 = 116,630.12/x
  3. Step 3: Cross multiply
    294,219.92x = 440,942.52 × 116,630.12
  4. Step 4: Simplify right side
    294,219.92x = 51,427,179,020.70
  5. Step 5: Solve for x
    x = 51,427,179,020.70/294,219.92
  6. Step 6: Final answer
    x = 174,791.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.