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Finding the Fourth Proportional to 394,356.40, 591,634.13 and 110,046.69

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Solution

The fourth proportional to 394,356.40, 591,634.13 and 110,046.69 is: 165,097.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,356.40 : 591,634.13 = 110,046.69 : x
  2. Step 2: Convert to fraction form
    394,356.40/591,634.13 = 110,046.69/x
  3. Step 3: Cross multiply
    394,356.40x = 591,634.13 × 110,046.69
  4. Step 4: Simplify right side
    394,356.40x = 65,107,377,697.53
  5. Step 5: Solve for x
    x = 65,107,377,697.53/394,356.40
  6. Step 6: Final answer
    x = 165,097.81

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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.