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Finding the Fourth Proportional to 490,413.60, 735,620.40 and 431,364.60

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Solution

The fourth proportional to 490,413.60, 735,620.40 and 431,364.60 is: 647,046.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,413.60 : 735,620.40 = 431,364.60 : x
  2. Step 2: Convert to fraction form
    490,413.60/735,620.40 = 431,364.60/x
  3. Step 3: Cross multiply
    490,413.60x = 735,620.40 × 431,364.60
  4. Step 4: Simplify right side
    490,413.60x = 317,320,599,597.84
  5. Step 5: Solve for x
    x = 317,320,599,597.84/490,413.60
  6. Step 6: Final answer
    x = 647,046.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.