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Finding the Fourth Proportional to 274,243.20, 411,364.80 and 199,204.80

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Solution

The fourth proportional to 274,243.20, 411,364.80 and 199,204.80 is: 298,807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,243.20 : 411,364.80 = 199,204.80 : x
  2. Step 2: Convert to fraction form
    274,243.20/411,364.80 = 199,204.80/x
  3. Step 3: Cross multiply
    274,243.20x = 411,364.80 × 199,204.80
  4. Step 4: Simplify right side
    274,243.20x = 81,945,842,711.04
  5. Step 5: Solve for x
    x = 81,945,842,711.04/274,243.20
  6. Step 6: Final answer
    x = 298,807.20

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1.5x scale

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.