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Finding the Fourth Proportional to 408,559.86, 613,413.90 and 209,023.38

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Solution

The fourth proportional to 408,559.86, 613,413.90 and 209,023.38 is: 313,828.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,559.86 : 613,413.90 = 209,023.38 : x
  2. Step 2: Convert to fraction form
    408,559.86/613,413.90 = 209,023.38/x
  3. Step 3: Cross multiply
    408,559.86x = 613,413.90 × 209,023.38
  4. Step 4: Simplify right side
    408,559.86x = 128,217,846,716.98
  5. Step 5: Solve for x
    x = 128,217,846,716.98/408,559.86
  6. Step 6: Final answer
    x = 313,828.79

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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.