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Finding the Fourth Proportional to 312,780.45, 431,637.75 and 169,539.84

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Solution

The fourth proportional to 312,780.45, 431,637.75 and 169,539.84 is: 233,965.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,780.45 : 431,637.75 = 169,539.84 : x
  2. Step 2: Convert to fraction form
    312,780.45/431,637.75 = 169,539.84/x
  3. Step 3: Cross multiply
    312,780.45x = 431,637.75 × 169,539.84
  4. Step 4: Simplify right side
    312,780.45x = 73,179,795,072.96
  5. Step 5: Solve for x
    x = 73,179,795,072.96/312,780.45
  6. Step 6: Final answer
    x = 233,965.37

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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.