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Finding the Fourth Proportional to 418,962.38, 578,163.22 and 227,972.48

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Solution

The fourth proportional to 418,962.38, 578,163.22 and 227,972.48 is: 314,599.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,962.38 : 578,163.22 = 227,972.48 : x
  2. Step 2: Convert to fraction form
    418,962.38/578,163.22 = 227,972.48/x
  3. Step 3: Cross multiply
    418,962.38x = 578,163.22 × 227,972.48
  4. Step 4: Simplify right side
    418,962.38x = 131,805,299,647.44
  5. Step 5: Solve for x
    x = 131,805,299,647.44/418,962.38
  6. Step 6: Final answer
    x = 314,599.37

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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.