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Finding the Fourth Proportional to 327,965.80, 491,804.70 and 150,413.80

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Solution

The fourth proportional to 327,965.80, 491,804.70 and 150,413.80 is: 225,554.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,965.80 : 491,804.70 = 150,413.80 : x
  2. Step 2: Convert to fraction form
    327,965.80/491,804.70 = 150,413.80/x
  3. Step 3: Cross multiply
    327,965.80x = 491,804.70 × 150,413.80
  4. Step 4: Simplify right side
    327,965.80x = 73,974,213,784.86
  5. Step 5: Solve for x
    x = 73,974,213,784.86/327,965.80
  6. Step 6: Final answer
    x = 225,554.66

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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.