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Finding the Fourth Proportional to 289,604.44, 434,270.34 and 112,194.52

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Solution

The fourth proportional to 289,604.44, 434,270.34 and 112,194.52 is: 168,238.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,604.44 : 434,270.34 = 112,194.52 : x
  2. Step 2: Convert to fraction form
    289,604.44/434,270.34 = 112,194.52/x
  3. Step 3: Cross multiply
    289,604.44x = 434,270.34 × 112,194.52
  4. Step 4: Simplify right side
    289,604.44x = 48,722,752,346.54
  5. Step 5: Solve for x
    x = 48,722,752,346.54/289,604.44
  6. Step 6: Final answer
    x = 168,238.97

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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.