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Finding the Fourth Proportional to 331,647.80, 496,413.30 and 261,663.80

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Solution

The fourth proportional to 331,647.80, 496,413.30 and 261,663.80 is: 391,660.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,647.80 : 496,413.30 = 261,663.80 : x
  2. Step 2: Convert to fraction form
    331,647.80/496,413.30 = 261,663.80/x
  3. Step 3: Cross multiply
    331,647.80x = 496,413.30 × 261,663.80
  4. Step 4: Simplify right side
    331,647.80x = 129,893,390,448.54
  5. Step 5: Solve for x
    x = 129,893,390,448.54/331,647.80
  6. Step 6: Final answer
    x = 391,660.64

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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.