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Finding the Fourth Proportional to 494,425.63, 741,198.61 and 178,812.37

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Solution

The fourth proportional to 494,425.63, 741,198.61 and 178,812.37 is: 268,059.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,425.63 : 741,198.61 = 178,812.37 : x
  2. Step 2: Convert to fraction form
    494,425.63/741,198.61 = 178,812.37/x
  3. Step 3: Cross multiply
    494,425.63x = 741,198.61 × 178,812.37
  4. Step 4: Simplify right side
    494,425.63x = 132,535,475,494.75
  5. Step 5: Solve for x
    x = 132,535,475,494.75/494,425.63
  6. Step 6: Final answer
    x = 268,059.48

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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.