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Finding the Fourth Proportional to 408,620.40, 611,764.20 and 408,620.40

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Solution

The fourth proportional to 408,620.40, 611,764.20 and 408,620.40 is: 611,764.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,620.40 : 611,764.20 = 408,620.40 : x
  2. Step 2: Convert to fraction form
    408,620.40/611,764.20 = 408,620.40/x
  3. Step 3: Cross multiply
    408,620.40x = 611,764.20 × 408,620.40
  4. Step 4: Simplify right side
    408,620.40x = 249,979,332,109.68
  5. Step 5: Solve for x
    x = 249,979,332,109.68/408,620.40
  6. Step 6: Final answer
    x = 611,764.20

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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.