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Finding the Fourth Proportional to 274,282.20, 411,423.30 and 199,049.40

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Solution

The fourth proportional to 274,282.20, 411,423.30 and 199,049.40 is: 298,574.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,282.20 : 411,423.30 = 199,049.40 : x
  2. Step 2: Convert to fraction form
    274,282.20/411,423.30 = 199,049.40/x
  3. Step 3: Cross multiply
    274,282.20x = 411,423.30 × 199,049.40
  4. Step 4: Simplify right side
    274,282.20x = 81,893,561,011.02
  5. Step 5: Solve for x
    x = 81,893,561,011.02/274,282.20
  6. Step 6: Final answer
    x = 298,574.10

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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.