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Finding the Fourth Proportional to 312,413.80, 468,620.70 and 300,166.60

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Solution

The fourth proportional to 312,413.80, 468,620.70 and 300,166.60 is: 450,249.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,413.80 : 468,620.70 = 300,166.60 : x
  2. Step 2: Convert to fraction form
    312,413.80/468,620.70 = 300,166.60/x
  3. Step 3: Cross multiply
    312,413.80x = 468,620.70 × 300,166.60
  4. Step 4: Simplify right side
    312,413.80x = 140,664,282,208.62
  5. Step 5: Solve for x
    x = 140,664,282,208.62/312,413.80
  6. Step 6: Final answer
    x = 450,249.90

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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.