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Finding the Fourth Proportional to 230,959.82, 316,409.69 and 222,324.80

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Solution

The fourth proportional to 230,959.82, 316,409.69 and 222,324.80 is: 304,579.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,959.82 : 316,409.69 = 222,324.80 : x
  2. Step 2: Convert to fraction form
    230,959.82/316,409.69 = 222,324.80/x
  3. Step 3: Cross multiply
    230,959.82x = 316,409.69 × 222,324.80
  4. Step 4: Simplify right side
    230,959.82x = 70,345,718,770.50
  5. Step 5: Solve for x
    x = 70,345,718,770.50/230,959.82
  6. Step 6: Final answer
    x = 304,579.90

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1.5x scale

Why These Related Problems?

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