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Finding the Fourth Proportional to 322,236.82, 482,991.94 and 153,619.12

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Solution

The fourth proportional to 322,236.82, 482,991.94 and 153,619.12 is: 230,255.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,236.82 : 482,991.94 = 153,619.12 : x
  2. Step 2: Convert to fraction form
    322,236.82/482,991.94 = 153,619.12/x
  3. Step 3: Cross multiply
    322,236.82x = 482,991.94 × 153,619.12
  4. Step 4: Simplify right side
    322,236.82x = 74,196,796,789.89
  5. Step 5: Solve for x
    x = 74,196,796,789.89/322,236.82
  6. Step 6: Final answer
    x = 230,255.49

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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.