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Finding the Fourth Proportional to 408,469.80, 612,623.78 and 388,216.20

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Solution

The fourth proportional to 408,469.80, 612,623.78 and 388,216.20 is: 582,247.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,469.80 : 612,623.78 = 388,216.20 : x
  2. Step 2: Convert to fraction form
    408,469.80/612,623.78 = 388,216.20/x
  3. Step 3: Cross multiply
    408,469.80x = 612,623.78 × 388,216.20
  4. Step 4: Simplify right side
    408,469.80x = 237,830,475,901.24
  5. Step 5: Solve for x
    x = 237,830,475,901.24/408,469.80
  6. Step 6: Final answer
    x = 582,247.39

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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.