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Finding the Fourth Proportional to 322,165.88, 444,574.52 and 193,175.56

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Solution

The fourth proportional to 322,165.88, 444,574.52 and 193,175.56 is: 266,573.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,165.88 : 444,574.52 = 193,175.56 : x
  2. Step 2: Convert to fraction form
    322,165.88/444,574.52 = 193,175.56/x
  3. Step 3: Cross multiply
    322,165.88x = 444,574.52 × 193,175.56
  4. Step 4: Simplify right side
    322,165.88x = 85,880,931,862.73
  5. Step 5: Solve for x
    x = 85,880,931,862.73/322,165.88
  6. Step 6: Final answer
    x = 266,573.64

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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.