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Finding the Fourth Proportional to 394,596.53, 591,896.05 and 110,285.21

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Solution

The fourth proportional to 394,596.53, 591,896.05 and 110,285.21 is: 165,428.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,596.53 : 591,896.05 = 110,285.21 : x
  2. Step 2: Convert to fraction form
    394,596.53/591,896.05 = 110,285.21/x
  3. Step 3: Cross multiply
    394,596.53x = 591,896.05 × 110,285.21
  4. Step 4: Simplify right side
    394,596.53x = 65,277,381,376.45
  5. Step 5: Solve for x
    x = 65,277,381,376.45/394,596.53
  6. Step 6: Final answer
    x = 165,428.17

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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.