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Finding the Fourth Proportional to 412,234.71, 568,882.65 and 228,485.01

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Solution

The fourth proportional to 412,234.71, 568,882.65 and 228,485.01 is: 315,308.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,234.71 : 568,882.65 = 228,485.01 : x
  2. Step 2: Convert to fraction form
    412,234.71/568,882.65 = 228,485.01/x
  3. Step 3: Cross multiply
    412,234.71x = 568,882.65 × 228,485.01
  4. Step 4: Simplify right side
    412,234.71x = 129,981,157,974.08
  5. Step 5: Solve for x
    x = 129,981,157,974.08/412,234.71
  6. Step 6: Final answer
    x = 315,308.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.