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Finding the Fourth Proportional to 512,695.91, 768,544.01 and 204,856.15

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Solution

The fourth proportional to 512,695.91, 768,544.01 and 204,856.15 is: 307,084.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,695.91 : 768,544.01 = 204,856.15 : x
  2. Step 2: Convert to fraction form
    512,695.91/768,544.01 = 204,856.15/x
  3. Step 3: Cross multiply
    512,695.91x = 768,544.01 × 204,856.15
  4. Step 4: Simplify right side
    512,695.91x = 157,440,965,969.88
  5. Step 5: Solve for x
    x = 157,440,965,969.88/512,695.91
  6. Step 6: Final answer
    x = 307,084.50

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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.