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Finding the Fourth Proportional to 394,354.32, 591,522.84 and 110,037.30

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Solution

The fourth proportional to 394,354.32, 591,522.84 and 110,037.30 is: 165,053.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,354.32 : 591,522.84 = 110,037.30 : x
  2. Step 2: Convert to fraction form
    394,354.32/591,522.84 = 110,037.30/x
  3. Step 3: Cross multiply
    394,354.32x = 591,522.84 × 110,037.30
  4. Step 4: Simplify right side
    394,354.32x = 65,089,576,201.93
  5. Step 5: Solve for x
    x = 65,089,576,201.93/394,354.32
  6. Step 6: Final answer
    x = 165,053.54

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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.