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Finding the Fourth Proportional to 432,108.80, 647,968.80 and 165,780.80

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Solution

The fourth proportional to 432,108.80, 647,968.80 and 165,780.80 is: 248,596.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,108.80 : 647,968.80 = 165,780.80 : x
  2. Step 2: Convert to fraction form
    432,108.80/647,968.80 = 165,780.80/x
  3. Step 3: Cross multiply
    432,108.80x = 647,968.80 × 165,780.80
  4. Step 4: Simplify right side
    432,108.80x = 107,420,786,039.04
  5. Step 5: Solve for x
    x = 107,420,786,039.04/432,108.80
  6. Step 6: Final answer
    x = 248,596.62

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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.