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Finding the Fourth Proportional to 226,742.20, 340,113.30 and 200,498.20

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Solution

The fourth proportional to 226,742.20, 340,113.30 and 200,498.20 is: 300,747.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,742.20 : 340,113.30 = 200,498.20 : x
  2. Step 2: Convert to fraction form
    226,742.20/340,113.30 = 200,498.20/x
  3. Step 3: Cross multiply
    226,742.20x = 340,113.30 × 200,498.20
  4. Step 4: Simplify right side
    226,742.20x = 68,192,104,446.06
  5. Step 5: Solve for x
    x = 68,192,104,446.06/226,742.20
  6. Step 6: Final answer
    x = 300,747.30

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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.