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Finding the Fourth Proportional to 394,563.12, 591,932.16 and 114,059.04

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Solution

The fourth proportional to 394,563.12, 591,932.16 and 114,059.04 is: 171,113.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,563.12 : 591,932.16 = 114,059.04 : x
  2. Step 2: Convert to fraction form
    394,563.12/591,932.16 = 114,059.04/x
  3. Step 3: Cross multiply
    394,563.12x = 591,932.16 × 114,059.04
  4. Step 4: Simplify right side
    394,563.12x = 67,515,213,914.73
  5. Step 5: Solve for x
    x = 67,515,213,914.73/394,563.12
  6. Step 6: Final answer
    x = 171,113.85

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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.