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Finding the Fourth Proportional to 312,564.26, 431,338.02 and 169,327.82

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Solution

The fourth proportional to 312,564.26, 431,338.02 and 169,327.82 is: 233,672.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,564.26 : 431,338.02 = 169,327.82 : x
  2. Step 2: Convert to fraction form
    312,564.26/431,338.02 = 169,327.82/x
  3. Step 3: Cross multiply
    312,564.26x = 431,338.02 × 169,327.82
  4. Step 4: Simplify right side
    312,564.26x = 73,037,526,609.72
  5. Step 5: Solve for x
    x = 73,037,526,609.72/312,564.26
  6. Step 6: Final answer
    x = 233,672.03

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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.