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Finding the Fourth Proportional to 329,952.36, 495,115.79 and 178,147.42

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Solution

The fourth proportional to 329,952.36, 495,115.79 and 178,147.42 is: 267,322.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,952.36 : 495,115.79 = 178,147.42 : x
  2. Step 2: Convert to fraction form
    329,952.36/495,115.79 = 178,147.42/x
  3. Step 3: Cross multiply
    329,952.36x = 495,115.79 × 178,147.42
  4. Step 4: Simplify right side
    329,952.36x = 88,203,600,589.76
  5. Step 5: Solve for x
    x = 88,203,600,589.76/329,952.36
  6. Step 6: Final answer
    x = 267,322.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.