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Finding the Fourth Proportional to 471,224.59, 706,940.57 and 222,185.23

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Solution

The fourth proportional to 471,224.59, 706,940.57 and 222,185.23 is: 333,326.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,224.59 : 706,940.57 = 222,185.23 : x
  2. Step 2: Convert to fraction form
    471,224.59/706,940.57 = 222,185.23/x
  3. Step 3: Cross multiply
    471,224.59x = 706,940.57 × 222,185.23
  4. Step 4: Simplify right side
    471,224.59x = 157,071,753,141.78
  5. Step 5: Solve for x
    x = 157,071,753,141.78/471,224.59
  6. Step 6: Final answer
    x = 333,326.73

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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.