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Finding the Fourth Proportional to 299,664.74, 449,514.38 and 112,677.86

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Solution

The fourth proportional to 299,664.74, 449,514.38 and 112,677.86 is: 169,023.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,664.74 : 449,514.38 = 112,677.86 : x
  2. Step 2: Convert to fraction form
    299,664.74/449,514.38 = 112,677.86/x
  3. Step 3: Cross multiply
    299,664.74x = 449,514.38 × 112,677.86
  4. Step 4: Simplify right side
    299,664.74x = 50,650,318,377.63
  5. Step 5: Solve for x
    x = 50,650,318,377.63/299,664.74
  6. Step 6: Final answer
    x = 169,023.28

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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.