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Finding the Fourth Proportional to 568,162.64, 852,216.28 and 213,149

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Solution

The fourth proportional to 568,162.64, 852,216.28 and 213,149 is: 319,713.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,162.64 : 852,216.28 = 213,149 : x
  2. Step 2: Convert to fraction form
    568,162.64/852,216.28 = 213,149/x
  3. Step 3: Cross multiply
    568,162.64x = 852,216.28 × 213,149
  4. Step 4: Simplify right side
    568,162.64x = 181,649,047,865.72
  5. Step 5: Solve for x
    x = 181,649,047,865.72/568,162.64
  6. Step 6: Final answer
    x = 319,713.12

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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.