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Finding the Fourth Proportional to 394,364.12, 591,645.96 and 110,054.64

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Solution

The fourth proportional to 394,364.12, 591,645.96 and 110,054.64 is: 165,109.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,364.12 : 591,645.96 = 110,054.64 : x
  2. Step 2: Convert to fraction form
    394,364.12/591,645.96 = 110,054.64/x
  3. Step 3: Cross multiply
    394,364.12x = 591,645.96 × 110,054.64
  4. Step 4: Simplify right side
    394,364.12x = 65,113,383,135.25
  5. Step 5: Solve for x
    x = 65,113,383,135.25/394,364.12
  6. Step 6: Final answer
    x = 165,109.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.