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Finding the Fourth Proportional to 415,082.60, 622,818.30 and 215,628.20

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Solution

The fourth proportional to 415,082.60, 622,818.30 and 215,628.20 is: 323,543.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,082.60 : 622,818.30 = 215,628.20 : x
  2. Step 2: Convert to fraction form
    415,082.60/622,818.30 = 215,628.20/x
  3. Step 3: Cross multiply
    415,082.60x = 622,818.30 × 215,628.20
  4. Step 4: Simplify right side
    415,082.60x = 134,297,188,956.06
  5. Step 5: Solve for x
    x = 134,297,188,956.06/415,082.60
  6. Step 6: Final answer
    x = 323,543.29

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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.