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Finding the Fourth Proportional to 568,542.56, 852,658.16 and 213,529.12

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Solution

The fourth proportional to 568,542.56, 852,658.16 and 213,529.12 is: 320,235.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,542.56 : 852,658.16 = 213,529.12 : x
  2. Step 2: Convert to fraction form
    568,542.56/852,658.16 = 213,529.12/x
  3. Step 3: Cross multiply
    568,542.56x = 852,658.16 × 213,529.12
  4. Step 4: Simplify right side
    568,542.56x = 182,067,346,565.62
  5. Step 5: Solve for x
    x = 182,067,346,565.62/568,542.56
  6. Step 6: Final answer
    x = 320,235.21

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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.