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Finding the Fourth Proportional to 303,652.80, 419,036.49 and 167,692.50

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Solution

The fourth proportional to 303,652.80, 419,036.49 and 167,692.50 is: 231,413.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,652.80 : 419,036.49 = 167,692.50 : x
  2. Step 2: Convert to fraction form
    303,652.80/419,036.49 = 167,692.50/x
  3. Step 3: Cross multiply
    303,652.80x = 419,036.49 × 167,692.50
  4. Step 4: Simplify right side
    303,652.80x = 70,269,276,599.33
  5. Step 5: Solve for x
    x = 70,269,276,599.33/303,652.80
  6. Step 6: Final answer
    x = 231,413.23

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Why These Related Problems?

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