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Finding the Fourth Proportional to 512,197.20, 768,007.80 and 196,664.40

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Solution

The fourth proportional to 512,197.20, 768,007.80 and 196,664.40 is: 294,886.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,197.20 : 768,007.80 = 196,664.40 : x
  2. Step 2: Convert to fraction form
    512,197.20/768,007.80 = 196,664.40/x
  3. Step 3: Cross multiply
    512,197.20x = 768,007.80 × 196,664.40
  4. Step 4: Simplify right side
    512,197.20x = 151,039,793,182.32
  5. Step 5: Solve for x
    x = 151,039,793,182.32/512,197.20
  6. Step 6: Final answer
    x = 294,886.02

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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.