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Finding the Fourth Proportional to 512,174.76, 706,833.87 and 285,820.26

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Solution

The fourth proportional to 512,174.76, 706,833.87 and 285,820.26 is: 394,450.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,174.76 : 706,833.87 = 285,820.26 : x
  2. Step 2: Convert to fraction form
    512,174.76/706,833.87 = 285,820.26/x
  3. Step 3: Cross multiply
    512,174.76x = 706,833.87 × 285,820.26
  4. Step 4: Simplify right side
    512,174.76x = 202,027,435,536.94
  5. Step 5: Solve for x
    x = 202,027,435,536.94/512,174.76
  6. Step 6: Final answer
    x = 394,450.20

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1.5x scale

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.