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Finding the Fourth Proportional to 394,591.45, 591,888.42 and 110,280.13

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Solution

The fourth proportional to 394,591.45, 591,888.42 and 110,280.13 is: 165,420.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,591.45 : 591,888.42 = 110,280.13 : x
  2. Step 2: Convert to fraction form
    394,591.45/591,888.42 = 110,280.13/x
  3. Step 3: Cross multiply
    394,591.45x = 591,888.42 × 110,280.13
  4. Step 4: Simplify right side
    394,591.45x = 65,273,528,943.65
  5. Step 5: Solve for x
    x = 65,273,528,943.65/394,591.45
  6. Step 6: Final answer
    x = 165,420.54

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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.