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Finding the Fourth Proportional to 305,375.54, 421,419.31 and 169,412.18

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Solution

The fourth proportional to 305,375.54, 421,419.31 and 169,412.18 is: 233,789.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,375.54 : 421,419.31 = 169,412.18 : x
  2. Step 2: Convert to fraction form
    305,375.54/421,419.31 = 169,412.18/x
  3. Step 3: Cross multiply
    305,375.54x = 421,419.31 × 169,412.18
  4. Step 4: Simplify right side
    305,375.54x = 71,393,561,470.57
  5. Step 5: Solve for x
    x = 71,393,561,470.57/305,375.54
  6. Step 6: Final answer
    x = 233,789.39

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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.