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Finding the Fourth Proportional to 327,180.84, 490,572.98 and 213,413.64

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Solution

The fourth proportional to 327,180.84, 490,572.98 and 213,413.64 is: 319,991.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,180.84 : 490,572.98 = 213,413.64 : x
  2. Step 2: Convert to fraction form
    327,180.84/490,572.98 = 213,413.64/x
  3. Step 3: Cross multiply
    327,180.84x = 490,572.98 × 213,413.64
  4. Step 4: Simplify right side
    327,180.84x = 104,694,965,347.45
  5. Step 5: Solve for x
    x = 104,694,965,347.45/327,180.84
  6. Step 6: Final answer
    x = 319,991.13

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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.