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Finding the Fourth Proportional to 408,451.83, 612,596.76 and 388,198.23

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Solution

The fourth proportional to 408,451.83, 612,596.76 and 388,198.23 is: 582,220.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,451.83 : 612,596.76 = 388,198.23 : x
  2. Step 2: Convert to fraction form
    408,451.83/612,596.76 = 388,198.23/x
  3. Step 3: Cross multiply
    408,451.83x = 612,596.76 × 388,198.23
  4. Step 4: Simplify right side
    408,451.83x = 237,808,977,935.74
  5. Step 5: Solve for x
    x = 237,808,977,935.74/408,451.83
  6. Step 6: Final answer
    x = 582,220.38

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1.5x scale

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.