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Finding the Fourth Proportional to 512,173.82, 706,832.57 and 285,819.32

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Solution

The fourth proportional to 512,173.82, 706,832.57 and 285,819.32 is: 394,448.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,173.82 : 706,832.57 = 285,819.32 : x
  2. Step 2: Convert to fraction form
    512,173.82/706,832.57 = 285,819.32/x
  3. Step 3: Cross multiply
    512,173.82x = 706,832.57 × 285,819.32
  4. Step 4: Simplify right side
    512,173.82x = 202,026,401,691.64
  5. Step 5: Solve for x
    x = 202,026,401,691.64/512,173.82
  6. Step 6: Final answer
    x = 394,448.91

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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.