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Finding the Fourth Proportional to 568,491.36, 852,287.22 and 213,465.84

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Solution

The fourth proportional to 568,491.36, 852,287.22 and 213,465.84 is: 320,029.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,491.36 : 852,287.22 = 213,465.84 : x
  2. Step 2: Convert to fraction form
    568,491.36/852,287.22 = 213,465.84/x
  3. Step 3: Cross multiply
    568,491.36x = 852,287.22 × 213,465.84
  4. Step 4: Simplify right side
    568,491.36x = 181,934,207,338.57
  5. Step 5: Solve for x
    x = 181,934,207,338.57/568,491.36
  6. Step 6: Final answer
    x = 320,029.85

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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.