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Finding the Fourth Proportional to 538,231.32, 807,346.97 and 222,696.42

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Solution

The fourth proportional to 538,231.32, 807,346.97 and 222,696.42 is: 334,044.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,231.32 : 807,346.97 = 222,696.42 : x
  2. Step 2: Convert to fraction form
    538,231.32/807,346.97 = 222,696.42/x
  3. Step 3: Cross multiply
    538,231.32x = 807,346.97 × 222,696.42
  4. Step 4: Simplify right side
    538,231.32x = 179,793,278,803.37
  5. Step 5: Solve for x
    x = 179,793,278,803.37/538,231.32
  6. Step 6: Final answer
    x = 334,044.62

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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.