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Finding the Fourth Proportional to 512,411.54, 768,682.90 and 196,827.44

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Solution

The fourth proportional to 512,411.54, 768,682.90 and 196,827.44 is: 295,266.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,411.54 : 768,682.90 = 196,827.44 : x
  2. Step 2: Convert to fraction form
    512,411.54/768,682.90 = 196,827.44/x
  3. Step 3: Cross multiply
    512,411.54x = 768,682.90 × 196,827.44
  4. Step 4: Simplify right side
    512,411.54x = 151,297,887,378.78
  5. Step 5: Solve for x
    x = 151,297,887,378.78/512,411.54
  6. Step 6: Final answer
    x = 295,266.35

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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.