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Finding the Fourth Proportional to 512,174.26, 706,833.18 and 285,819.76

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Solution

The fourth proportional to 512,174.26, 706,833.18 and 285,819.76 is: 394,449.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,174.26 : 706,833.18 = 285,819.76 : x
  2. Step 2: Convert to fraction form
    512,174.26/706,833.18 = 285,819.76/x
  3. Step 3: Cross multiply
    512,174.26x = 706,833.18 × 285,819.76
  4. Step 4: Simplify right side
    512,174.26x = 202,026,884,904.37
  5. Step 5: Solve for x
    x = 202,026,884,904.37/512,174.26
  6. Step 6: Final answer
    x = 394,449.51

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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.