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Finding the Fourth Proportional to 394,361.74, 591,642.40 and 110,052.26

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Solution

The fourth proportional to 394,361.74, 591,642.40 and 110,052.26 is: 165,106.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,361.74 : 591,642.40 = 110,052.26 : x
  2. Step 2: Convert to fraction form
    394,361.74/591,642.40 = 110,052.26/x
  3. Step 3: Cross multiply
    394,361.74x = 591,642.40 × 110,052.26
  4. Step 4: Simplify right side
    394,361.74x = 65,111,583,231.82
  5. Step 5: Solve for x
    x = 65,111,583,231.82/394,361.74
  6. Step 6: Final answer
    x = 165,106.24

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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.