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Finding the Fourth Proportional to 329,735.90, 454,891.02 and 193,708.46

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Solution

The fourth proportional to 329,735.90, 454,891.02 and 193,708.46 is: 267,232.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,735.90 : 454,891.02 = 193,708.46 : x
  2. Step 2: Convert to fraction form
    329,735.90/454,891.02 = 193,708.46/x
  3. Step 3: Cross multiply
    329,735.90x = 454,891.02 × 193,708.46
  4. Step 4: Simplify right side
    329,735.90x = 88,116,238,952.03
  5. Step 5: Solve for x
    x = 88,116,238,952.03/329,735.90
  6. Step 6: Final answer
    x = 267,232.77

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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.