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Finding the Fourth Proportional to 274,443.80, 410,859.30 and 204,632.60

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Solution

The fourth proportional to 274,443.80, 410,859.30 and 204,632.60 is: 306,347.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,443.80 : 410,859.30 = 204,632.60 : x
  2. Step 2: Convert to fraction form
    274,443.80/410,859.30 = 204,632.60/x
  3. Step 3: Cross multiply
    274,443.80x = 410,859.30 × 204,632.60
  4. Step 4: Simplify right side
    274,443.80x = 84,075,206,793.18
  5. Step 5: Solve for x
    x = 84,075,206,793.18/274,443.80
  6. Step 6: Final answer
    x = 306,347.63

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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.