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Finding the Fourth Proportional to 268,546.20, 402,473.70 and 205,906.20

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Solution

The fourth proportional to 268,546.20, 402,473.70 and 205,906.20 is: 308,594.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,546.20 : 402,473.70 = 205,906.20 : x
  2. Step 2: Convert to fraction form
    268,546.20/402,473.70 = 205,906.20/x
  3. Step 3: Cross multiply
    268,546.20x = 402,473.70 × 205,906.20
  4. Step 4: Simplify right side
    268,546.20x = 82,871,830,166.94
  5. Step 5: Solve for x
    x = 82,871,830,166.94/268,546.20
  6. Step 6: Final answer
    x = 308,594.31

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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.