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Finding the Fourth Proportional to 323,822.80, 485,734.20 and 205,724.80

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Solution

The fourth proportional to 323,822.80, 485,734.20 and 205,724.80 is: 308,587.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,822.80 : 485,734.20 = 205,724.80 : x
  2. Step 2: Convert to fraction form
    323,822.80/485,734.20 = 205,724.80/x
  3. Step 3: Cross multiply
    323,822.80x = 485,734.20 × 205,724.80
  4. Step 4: Simplify right side
    323,822.80x = 99,927,571,148.16
  5. Step 5: Solve for x
    x = 99,927,571,148.16/323,822.80
  6. Step 6: Final answer
    x = 308,587.20

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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.