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Finding the Fourth Proportional to 633,136.64, 949,855.91 and 206,672.92

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Solution

The fourth proportional to 633,136.64, 949,855.91 and 206,672.92 is: 310,058.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,136.64 : 949,855.91 = 206,672.92 : x
  2. Step 2: Convert to fraction form
    633,136.64/949,855.91 = 206,672.92/x
  3. Step 3: Cross multiply
    633,136.64x = 949,855.91 × 206,672.92
  4. Step 4: Simplify right side
    633,136.64x = 196,309,491,090.95
  5. Step 5: Solve for x
    x = 196,309,491,090.95/633,136.64
  6. Step 6: Final answer
    x = 310,058.65

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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.