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Finding the Fourth Proportional to 394,534.80, 591,413.40 and 194,691.60

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Solution

The fourth proportional to 394,534.80, 591,413.40 and 194,691.60 is: 291,845.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,534.80 : 591,413.40 = 194,691.60 : x
  2. Step 2: Convert to fraction form
    394,534.80/591,413.40 = 194,691.60/x
  3. Step 3: Cross multiply
    394,534.80x = 591,413.40 × 194,691.60
  4. Step 4: Simplify right side
    394,534.80x = 115,143,221,107.44
  5. Step 5: Solve for x
    x = 115,143,221,107.44/394,534.80
  6. Step 6: Final answer
    x = 291,845.54

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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.