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Finding the Fourth Proportional to 299,470.44, 413,278.23 and 170,427.42

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Solution

The fourth proportional to 299,470.44, 413,278.23 and 170,427.42 is: 235,194.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,470.44 : 413,278.23 = 170,427.42 : x
  2. Step 2: Convert to fraction form
    299,470.44/413,278.23 = 170,427.42/x
  3. Step 3: Cross multiply
    299,470.44x = 413,278.23 × 170,427.42
  4. Step 4: Simplify right side
    299,470.44x = 70,433,942,481.07
  5. Step 5: Solve for x
    x = 70,433,942,481.07/299,470.44
  6. Step 6: Final answer
    x = 235,194.97

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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.