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Finding the Fourth Proportional to 512,565.20, 768,847.80 and 212,946.20

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Solution

The fourth proportional to 512,565.20, 768,847.80 and 212,946.20 is: 319,419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,565.20 : 768,847.80 = 212,946.20 : x
  2. Step 2: Convert to fraction form
    512,565.20/768,847.80 = 212,946.20/x
  3. Step 3: Cross multiply
    512,565.20x = 768,847.80 × 212,946.20
  4. Step 4: Simplify right side
    512,565.20x = 163,723,217,388.36
  5. Step 5: Solve for x
    x = 163,723,217,388.36/512,565.20
  6. Step 6: Final answer
    x = 319,419.30

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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.