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Finding the Fourth Proportional to 306,413.40, 422,849.34 and 179,063.76

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Solution

The fourth proportional to 306,413.40, 422,849.34 and 179,063.76 is: 247,107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,413.40 : 422,849.34 = 179,063.76 : x
  2. Step 2: Convert to fraction form
    306,413.40/422,849.34 = 179,063.76/x
  3. Step 3: Cross multiply
    306,413.40x = 422,849.34 × 179,063.76
  4. Step 4: Simplify right side
    306,413.40x = 75,716,992,733.92
  5. Step 5: Solve for x
    x = 75,716,992,733.92/306,413.40
  6. Step 6: Final answer
    x = 247,107.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.