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Finding the Fourth Proportional to 647,604.16, 970,818.16 and 226,650.40

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Solution

The fourth proportional to 647,604.16, 970,818.16 and 226,650.40 is: 339,769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,604.16 : 970,818.16 = 226,650.40 : x
  2. Step 2: Convert to fraction form
    647,604.16/970,818.16 = 226,650.40/x
  3. Step 3: Cross multiply
    647,604.16x = 970,818.16 × 226,650.40
  4. Step 4: Simplify right side
    647,604.16x = 220,036,324,291.26
  5. Step 5: Solve for x
    x = 220,036,324,291.26/647,604.16
  6. Step 6: Final answer
    x = 339,769.78

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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.