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Finding the Fourth Proportional to 394,364.42, 591,646.14 and 110,054.73

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Solution

The fourth proportional to 394,364.42, 591,646.14 and 110,054.73 is: 165,109.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,364.42 : 591,646.14 = 110,054.73 : x
  2. Step 2: Convert to fraction form
    394,364.42/591,646.14 = 110,054.73/x
  3. Step 3: Cross multiply
    394,364.42x = 591,646.14 × 110,054.73
  4. Step 4: Simplify right side
    394,364.42x = 65,113,456,193.24
  5. Step 5: Solve for x
    x = 65,113,456,193.24/394,364.42
  6. Step 6: Final answer
    x = 165,109.87

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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.