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Finding the Fourth Proportional to 302,996.56, 418,891.08 and 227,413.84

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Solution

The fourth proportional to 302,996.56, 418,891.08 and 227,413.84 is: 314,398.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,996.56 : 418,891.08 = 227,413.84 : x
  2. Step 2: Convert to fraction form
    302,996.56/418,891.08 = 227,413.84/x
  3. Step 3: Cross multiply
    302,996.56x = 418,891.08 × 227,413.84
  4. Step 4: Simplify right side
    302,996.56x = 95,261,629,044.55
  5. Step 5: Solve for x
    x = 95,261,629,044.55/302,996.56
  6. Step 6: Final answer
    x = 314,398.38

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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.