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Finding the Fourth Proportional to 510,997.43, 705,192.44 and 293,245.94

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Solution

The fourth proportional to 510,997.43, 705,192.44 and 293,245.94 is: 404,688.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,997.43 : 705,192.44 = 293,245.94 : x
  2. Step 2: Convert to fraction form
    510,997.43/705,192.44 = 293,245.94/x
  3. Step 3: Cross multiply
    510,997.43x = 705,192.44 × 293,245.94
  4. Step 4: Simplify right side
    510,997.43x = 206,794,814,956.50
  5. Step 5: Solve for x
    x = 206,794,814,956.50/510,997.43
  6. Step 6: Final answer
    x = 404,688.57

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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.