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Finding the Fourth Proportional to 312,436.09, 431,162.22 and 169,196.37

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Solution

The fourth proportional to 312,436.09, 431,162.22 and 169,196.37 is: 233,491.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,436.09 : 431,162.22 = 169,196.37 : x
  2. Step 2: Convert to fraction form
    312,436.09/431,162.22 = 169,196.37/x
  3. Step 3: Cross multiply
    312,436.09x = 431,162.22 × 169,196.37
  4. Step 4: Simplify right side
    312,436.09x = 72,951,082,505.14
  5. Step 5: Solve for x
    x = 72,951,082,505.14/312,436.09
  6. Step 6: Final answer
    x = 233,491.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.