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Finding the Fourth Proportional to 301,342.11, 415,839.01 and 165,378.31

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Solution

The fourth proportional to 301,342.11, 415,839.01 and 165,378.31 is: 228,214.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,342.11 : 415,839.01 = 165,378.31 : x
  2. Step 2: Convert to fraction form
    301,342.11/415,839.01 = 165,378.31/x
  3. Step 3: Cross multiply
    301,342.11x = 415,839.01 × 165,378.31
  4. Step 4: Simplify right side
    301,342.11x = 68,770,751,878.98
  5. Step 5: Solve for x
    x = 68,770,751,878.98/301,342.11
  6. Step 6: Final answer
    x = 228,214.88

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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.