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Finding the Fourth Proportional to 469,057.85, 647,300.38 and 254,197.90

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Solution

The fourth proportional to 469,057.85, 647,300.38 and 254,197.90 is: 350,793.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,057.85 : 647,300.38 = 254,197.90 : x
  2. Step 2: Convert to fraction form
    469,057.85/647,300.38 = 254,197.90/x
  3. Step 3: Cross multiply
    469,057.85x = 647,300.38 × 254,197.90
  4. Step 4: Simplify right side
    469,057.85x = 164,542,399,735.99
  5. Step 5: Solve for x
    x = 164,542,399,735.99/469,057.85
  6. Step 6: Final answer
    x = 350,793.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.