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Finding the Fourth Proportional to 647,188.02, 971,219.43 and 226,467.54

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Solution

The fourth proportional to 647,188.02, 971,219.43 and 226,467.54 is: 339,854.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,188.02 : 971,219.43 = 226,467.54 : x
  2. Step 2: Convert to fraction form
    647,188.02/971,219.43 = 226,467.54/x
  3. Step 3: Cross multiply
    647,188.02x = 971,219.43 × 226,467.54
  4. Step 4: Simplify right side
    647,188.02x = 219,949,675,112.30
  5. Step 5: Solve for x
    x = 219,949,675,112.30/647,188.02
  6. Step 6: Final answer
    x = 339,854.37

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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.