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Finding the Fourth Proportional to 323,818.80, 485,728.20 and 205,720.80

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Solution

The fourth proportional to 323,818.80, 485,728.20 and 205,720.80 is: 308,581.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,818.80 : 485,728.20 = 205,720.80 : x
  2. Step 2: Convert to fraction form
    323,818.80/485,728.20 = 205,720.80/x
  3. Step 3: Cross multiply
    323,818.80x = 485,728.20 × 205,720.80
  4. Step 4: Simplify right side
    323,818.80x = 99,924,393,886.56
  5. Step 5: Solve for x
    x = 99,924,393,886.56/323,818.80
  6. Step 6: Final answer
    x = 308,581.20

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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.