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Finding the Fourth Proportional to 469,540.88, 647,961.65 and 254,676.33

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Solution

The fourth proportional to 469,540.88, 647,961.65 and 254,676.33 is: 351,450.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,540.88 : 647,961.65 = 254,676.33 : x
  2. Step 2: Convert to fraction form
    469,540.88/647,961.65 = 254,676.33/x
  3. Step 3: Cross multiply
    469,540.88x = 647,961.65 × 254,676.33
  4. Step 4: Simplify right side
    469,540.88x = 165,020,495,002.75
  5. Step 5: Solve for x
    x = 165,020,495,002.75/469,540.88
  6. Step 6: Final answer
    x = 351,450.75

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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.