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Finding the Fourth Proportional to 568,160.64, 852,213.28 and 213,147

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Solution

The fourth proportional to 568,160.64, 852,213.28 and 213,147 is: 319,710.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,160.64 : 852,213.28 = 213,147 : x
  2. Step 2: Convert to fraction form
    568,160.64/852,213.28 = 213,147/x
  3. Step 3: Cross multiply
    568,160.64x = 852,213.28 × 213,147
  4. Step 4: Simplify right side
    568,160.64x = 181,646,703,992.16
  5. Step 5: Solve for x
    x = 181,646,703,992.16/568,160.64
  6. Step 6: Final answer
    x = 319,710.12

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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.