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Finding the Fourth Proportional to 392,536.77, 588,798.32 and 214,946.90

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Solution

The fourth proportional to 392,536.77, 588,798.32 and 214,946.90 is: 322,416.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,536.77 : 588,798.32 = 214,946.90 : x
  2. Step 2: Convert to fraction form
    392,536.77/588,798.32 = 214,946.90/x
  3. Step 3: Cross multiply
    392,536.77x = 588,798.32 × 214,946.90
  4. Step 4: Simplify right side
    392,536.77x = 126,560,375,642.68
  5. Step 5: Solve for x
    x = 126,560,375,642.68/392,536.77
  6. Step 6: Final answer
    x = 322,416.61

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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.