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Finding the Fourth Proportional to 432,229.88, 647,901.48 and 165,918.62

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Solution

The fourth proportional to 432,229.88, 647,901.48 and 165,918.62 is: 248,707.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,229.88 : 647,901.48 = 165,918.62 : x
  2. Step 2: Convert to fraction form
    432,229.88/647,901.48 = 165,918.62/x
  3. Step 3: Cross multiply
    432,229.88x = 647,901.48 × 165,918.62
  4. Step 4: Simplify right side
    432,229.88x = 107,498,919,457.56
  5. Step 5: Solve for x
    x = 107,498,919,457.56/432,229.88
  6. Step 6: Final answer
    x = 248,707.75

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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.