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Finding the Fourth Proportional to 489,843.14, 734,080.44 and 264,718.22

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Solution

The fourth proportional to 489,843.14, 734,080.44 and 264,718.22 is: 396,707.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,843.14 : 734,080.44 = 264,718.22 : x
  2. Step 2: Convert to fraction form
    489,843.14/734,080.44 = 264,718.22/x
  3. Step 3: Cross multiply
    489,843.14x = 734,080.44 × 264,718.22
  4. Step 4: Simplify right side
    489,843.14x = 194,324,467,413.62
  5. Step 5: Solve for x
    x = 194,324,467,413.62/489,843.14
  6. Step 6: Final answer
    x = 396,707.54

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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.