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Finding the Fourth Proportional to 468,028.28, 701,478.45 and 214,959.57

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Solution

The fourth proportional to 468,028.28, 701,478.45 and 214,959.57 is: 322,180.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,028.28 : 701,478.45 = 214,959.57 : x
  2. Step 2: Convert to fraction form
    468,028.28/701,478.45 = 214,959.57/x
  3. Step 3: Cross multiply
    468,028.28x = 701,478.45 × 214,959.57
  4. Step 4: Simplify right side
    468,028.28x = 150,789,505,976.27
  5. Step 5: Solve for x
    x = 150,789,505,976.27/468,028.28
  6. Step 6: Final answer
    x = 322,180.33

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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.