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Finding the Fourth Proportional to 329,107.82, 493,288.52 and 151,247.27

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Solution

The fourth proportional to 329,107.82, 493,288.52 and 151,247.27 is: 226,699.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,107.82 : 493,288.52 = 151,247.27 : x
  2. Step 2: Convert to fraction form
    329,107.82/493,288.52 = 151,247.27/x
  3. Step 3: Cross multiply
    329,107.82x = 493,288.52 × 151,247.27
  4. Step 4: Simplify right side
    329,107.82x = 74,608,542,449.33
  5. Step 5: Solve for x
    x = 74,608,542,449.33/329,107.82
  6. Step 6: Final answer
    x = 226,699.39

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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.