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Finding the Fourth Proportional to 415,714.44, 622,937.25 and 216,099.66

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Solution

The fourth proportional to 415,714.44, 622,937.25 and 216,099.66 is: 323,819.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,714.44 : 622,937.25 = 216,099.66 : x
  2. Step 2: Convert to fraction form
    415,714.44/622,937.25 = 216,099.66/x
  3. Step 3: Cross multiply
    415,714.44x = 622,937.25 × 216,099.66
  4. Step 4: Simplify right side
    415,714.44x = 134,616,527,926.34
  5. Step 5: Solve for x
    x = 134,616,527,926.34/415,714.44
  6. Step 6: Final answer
    x = 323,819.71

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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.