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Finding the Fourth Proportional to 432,272.88, 647,965.92 and 165,961.68

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Solution

The fourth proportional to 432,272.88, 647,965.92 and 165,961.68 is: 248,772.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,272.88 : 647,965.92 = 165,961.68 : x
  2. Step 2: Convert to fraction form
    432,272.88/647,965.92 = 165,961.68/x
  3. Step 3: Cross multiply
    432,272.88x = 647,965.92 × 165,961.68
  4. Step 4: Simplify right side
    432,272.88x = 107,537,512,665.95
  5. Step 5: Solve for x
    x = 107,537,512,665.95/432,272.88
  6. Step 6: Final answer
    x = 248,772.29

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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.