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Finding the Fourth Proportional to 814,573.20, 1,222,297.20 and 341,306.40

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Solution

The fourth proportional to 814,573.20, 1,222,297.20 and 341,306.40 is: 512,142.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,573.20 : 1,222,297.20 = 341,306.40 : x
  2. Step 2: Convert to fraction form
    814,573.20/1,222,297.20 = 341,306.40/x
  3. Step 3: Cross multiply
    814,573.20x = 1,222,297.20 × 341,306.40
  4. Step 4: Simplify right side
    814,573.20x = 417,177,857,062.08
  5. Step 5: Solve for x
    x = 417,177,857,062.08/814,573.20
  6. Step 6: Final answer
    x = 512,142.87

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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.