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Finding the Fourth Proportional to 378,498.42, 522,310.22 and 217,239.96

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Solution

The fourth proportional to 378,498.42, 522,310.22 and 217,239.96 is: 299,781.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,498.42 : 522,310.22 = 217,239.96 : x
  2. Step 2: Convert to fraction form
    378,498.42/522,310.22 = 217,239.96/x
  3. Step 3: Cross multiply
    378,498.42x = 522,310.22 × 217,239.96
  4. Step 4: Simplify right side
    378,498.42x = 113,466,651,300.39
  5. Step 5: Solve for x
    x = 113,466,651,300.39/378,498.42
  6. Step 6: Final answer
    x = 299,781.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.