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Finding the Fourth Proportional to 394,004.55, 591,057.90 and 180,721.02

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Solution

The fourth proportional to 394,004.55, 591,057.90 and 180,721.02 is: 271,104.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,004.55 : 591,057.90 = 180,721.02 : x
  2. Step 2: Convert to fraction form
    394,004.55/591,057.90 = 180,721.02/x
  3. Step 3: Cross multiply
    394,004.55x = 591,057.90 × 180,721.02
  4. Step 4: Simplify right side
    394,004.55x = 106,816,586,567.06
  5. Step 5: Solve for x
    x = 106,816,586,567.06/394,004.55
  6. Step 6: Final answer
    x = 271,104.96

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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.