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Finding the Fourth Proportional to 568,489.36, 852,284.22 and 213,463.84

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Solution

The fourth proportional to 568,489.36, 852,284.22 and 213,463.84 is: 320,026.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,489.36 : 852,284.22 = 213,463.84 : x
  2. Step 2: Convert to fraction form
    568,489.36/852,284.22 = 213,463.84/x
  3. Step 3: Cross multiply
    568,489.36x = 852,284.22 × 213,463.84
  4. Step 4: Simplify right side
    568,489.36x = 181,931,862,372.61
  5. Step 5: Solve for x
    x = 181,931,862,372.61/568,489.36
  6. Step 6: Final answer
    x = 320,026.86

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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.