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Finding the Fourth Proportional to 533,284.29, 800,148.78 and 233,979.98

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Solution

The fourth proportional to 533,284.29, 800,148.78 and 233,979.98 is: 351,067.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,284.29 : 800,148.78 = 233,979.98 : x
  2. Step 2: Convert to fraction form
    533,284.29/800,148.78 = 233,979.98/x
  3. Step 3: Cross multiply
    533,284.29x = 800,148.78 × 233,979.98
  4. Step 4: Simplify right side
    533,284.29x = 187,218,791,540.68
  5. Step 5: Solve for x
    x = 187,218,791,540.68/533,284.29
  6. Step 6: Final answer
    x = 351,067.52

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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.