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Finding the Fourth Proportional to 230,959.67, 316,409.46 and 222,324.66

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Solution

The fourth proportional to 230,959.67, 316,409.46 and 222,324.66 is: 304,579.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,959.67 : 316,409.46 = 222,324.66 : x
  2. Step 2: Convert to fraction form
    230,959.67/316,409.46 = 222,324.66/x
  3. Step 3: Cross multiply
    230,959.67x = 316,409.46 × 222,324.66
  4. Step 4: Simplify right side
    230,959.67x = 70,345,625,262.47
  5. Step 5: Solve for x
    x = 70,345,625,262.47/230,959.67
  6. Step 6: Final answer
    x = 304,579.69

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.