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Finding the Fourth Proportional to 322,967.58, 445,233.30 and 227,176.98

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Solution

The fourth proportional to 322,967.58, 445,233.30 and 227,176.98 is: 313,179.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,967.58 : 445,233.30 = 227,176.98 : x
  2. Step 2: Convert to fraction form
    322,967.58/445,233.30 = 227,176.98/x
  3. Step 3: Cross multiply
    322,967.58x = 445,233.30 × 227,176.98
  4. Step 4: Simplify right side
    322,967.58x = 101,146,756,489.43
  5. Step 5: Solve for x
    x = 101,146,756,489.43/322,967.58
  6. Step 6: Final answer
    x = 313,179.29

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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.