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Finding the Fourth Proportional to 274,426.80, 410,833.80 and 204,615.60

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Solution

The fourth proportional to 274,426.80, 410,833.80 and 204,615.60 is: 306,322.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,426.80 : 410,833.80 = 204,615.60 : x
  2. Step 2: Convert to fraction form
    274,426.80/410,833.80 = 204,615.60/x
  3. Step 3: Cross multiply
    274,426.80x = 410,833.80 × 204,615.60
  4. Step 4: Simplify right side
    274,426.80x = 84,063,004,487.28
  5. Step 5: Solve for x
    x = 84,063,004,487.28/274,426.80
  6. Step 6: Final answer
    x = 306,322.14

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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.