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Finding the Fourth Proportional to 633,005.44, 949,591.53 and 206,391.47

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Solution

The fourth proportional to 633,005.44, 949,591.53 and 206,391.47 is: 309,614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,005.44 : 949,591.53 = 206,391.47 : x
  2. Step 2: Convert to fraction form
    633,005.44/949,591.53 = 206,391.47/x
  3. Step 3: Cross multiply
    633,005.44x = 949,591.53 × 206,391.47
  4. Step 4: Simplify right side
    633,005.44x = 195,987,587,028.29
  5. Step 5: Solve for x
    x = 195,987,587,028.29/633,005.44
  6. Step 6: Final answer
    x = 309,614.38

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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.