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Finding the Fourth Proportional to 510,996.93, 705,191.74 and 293,245.44

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Solution

The fourth proportional to 510,996.93, 705,191.74 and 293,245.44 is: 404,687.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,996.93 : 705,191.74 = 293,245.44 : x
  2. Step 2: Convert to fraction form
    510,996.93/705,191.74 = 293,245.44/x
  3. Step 3: Cross multiply
    510,996.93x = 705,191.74 × 293,245.44
  4. Step 4: Simplify right side
    510,996.93x = 206,794,262,080.67
  5. Step 5: Solve for x
    x = 206,794,262,080.67/510,996.93
  6. Step 6: Final answer
    x = 404,687.88

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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.