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Finding the Fourth Proportional to 339,002.64, 467,909.64 and 231,616.08

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Solution

The fourth proportional to 339,002.64, 467,909.64 and 231,616.08 is: 319,688.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,002.64 : 467,909.64 = 231,616.08 : x
  2. Step 2: Convert to fraction form
    339,002.64/467,909.64 = 231,616.08/x
  3. Step 3: Cross multiply
    339,002.64x = 467,909.64 × 231,616.08
  4. Step 4: Simplify right side
    339,002.64x = 108,375,396,611.01
  5. Step 5: Solve for x
    x = 108,375,396,611.01/339,002.64
  6. Step 6: Final answer
    x = 319,688.95

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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.