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Finding the Fourth Proportional to 468,022.28, 701,469.45 and 214,953.57

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Solution

The fourth proportional to 468,022.28, 701,469.45 and 214,953.57 is: 322,171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,022.28 : 701,469.45 = 214,953.57 : x
  2. Step 2: Convert to fraction form
    468,022.28/701,469.45 = 214,953.57/x
  3. Step 3: Cross multiply
    468,022.28x = 701,469.45 × 214,953.57
  4. Step 4: Simplify right side
    468,022.28x = 150,783,362,523.44
  5. Step 5: Solve for x
    x = 150,783,362,523.44/468,022.28
  6. Step 6: Final answer
    x = 322,171.34

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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.