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Finding the Fourth Proportional to 358,059.34, 494,112.03 and 196,914.38

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Solution

The fourth proportional to 358,059.34, 494,112.03 and 196,914.38 is: 271,736.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,059.34 : 494,112.03 = 196,914.38 : x
  2. Step 2: Convert to fraction form
    358,059.34/494,112.03 = 196,914.38/x
  3. Step 3: Cross multiply
    358,059.34x = 494,112.03 × 196,914.38
  4. Step 4: Simplify right side
    358,059.34x = 97,297,761,936.65
  5. Step 5: Solve for x
    x = 97,297,761,936.65/358,059.34
  6. Step 6: Final answer
    x = 271,736.41

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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.