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Finding the Fourth Proportional to 394,413.60, 591,296.40 and 169,946.40

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Solution

The fourth proportional to 394,413.60, 591,296.40 and 169,946.40 is: 254,779.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,413.60 : 591,296.40 = 169,946.40 : x
  2. Step 2: Convert to fraction form
    394,413.60/591,296.40 = 169,946.40/x
  3. Step 3: Cross multiply
    394,413.60x = 591,296.40 × 169,946.40
  4. Step 4: Simplify right side
    394,413.60x = 100,488,694,512.96
  5. Step 5: Solve for x
    x = 100,488,694,512.96/394,413.60
  6. Step 6: Final answer
    x = 254,779.99

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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.