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Finding the Fourth Proportional to 274,003.20, 411,004.80 and 198,770.40

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Solution

The fourth proportional to 274,003.20, 411,004.80 and 198,770.40 is: 298,155.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,003.20 : 411,004.80 = 198,770.40 : x
  2. Step 2: Convert to fraction form
    274,003.20/411,004.80 = 198,770.40/x
  3. Step 3: Cross multiply
    274,003.20x = 411,004.80 × 198,770.40
  4. Step 4: Simplify right side
    274,003.20x = 81,695,588,497.92
  5. Step 5: Solve for x
    x = 81,695,588,497.92/274,003.20
  6. Step 6: Final answer
    x = 298,155.60

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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.