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Finding the Fourth Proportional to 356,255.76, 534,217.44 and 206,538.96

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Solution

The fourth proportional to 356,255.76, 534,217.44 and 206,538.96 is: 309,712.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,255.76 : 534,217.44 = 206,538.96 : x
  2. Step 2: Convert to fraction form
    356,255.76/534,217.44 = 206,538.96/x
  3. Step 3: Cross multiply
    356,255.76x = 534,217.44 × 206,538.96
  4. Step 4: Simplify right side
    356,255.76x = 110,336,714,471.46
  5. Step 5: Solve for x
    x = 110,336,714,471.46/356,255.76
  6. Step 6: Final answer
    x = 309,712.09

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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.