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Finding the Fourth Proportional to 329,046.95, 454,043.05 and 193,031.27

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Solution

The fourth proportional to 329,046.95, 454,043.05 and 193,031.27 is: 266,358.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,046.95 : 454,043.05 = 193,031.27 : x
  2. Step 2: Convert to fraction form
    329,046.95/454,043.05 = 193,031.27/x
  3. Step 3: Cross multiply
    329,046.95x = 454,043.05 × 193,031.27
  4. Step 4: Simplify right side
    329,046.95x = 87,644,505,611.02
  5. Step 5: Solve for x
    x = 87,644,505,611.02/329,046.95
  6. Step 6: Final answer
    x = 266,358.66

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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.