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Finding the Fourth Proportional to 512,005.20, 768,007.80 and 451,870.80

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Solution

The fourth proportional to 512,005.20, 768,007.80 and 451,870.80 is: 677,806.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,005.20 : 768,007.80 = 451,870.80 : x
  2. Step 2: Convert to fraction form
    512,005.20/768,007.80 = 451,870.80/x
  3. Step 3: Cross multiply
    512,005.20x = 768,007.80 × 451,870.80
  4. Step 4: Simplify right side
    512,005.20x = 347,040,298,992.24
  5. Step 5: Solve for x
    x = 347,040,298,992.24/512,005.20
  6. Step 6: Final answer
    x = 677,806.20

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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.