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Finding the Fourth Proportional to 408,467.80, 563,642.58 and 227,150.38

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Solution

The fourth proportional to 408,467.80, 563,642.58 and 227,150.38 is: 313,443.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,467.80 : 563,642.58 = 227,150.38 : x
  2. Step 2: Convert to fraction form
    408,467.80/563,642.58 = 227,150.38/x
  3. Step 3: Cross multiply
    408,467.80x = 563,642.58 × 227,150.38
  4. Step 4: Simplify right side
    408,467.80x = 128,031,626,231.18
  5. Step 5: Solve for x
    x = 128,031,626,231.18/408,467.80
  6. Step 6: Final answer
    x = 313,443.62

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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.