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Finding the Fourth Proportional to 510,388.76, 765,754.86 and 226,039.88

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Solution

The fourth proportional to 510,388.76, 765,754.86 and 226,039.88 is: 339,135.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,388.76 : 765,754.86 = 226,039.88 : x
  2. Step 2: Convert to fraction form
    510,388.76/765,754.86 = 226,039.88/x
  3. Step 3: Cross multiply
    510,388.76x = 765,754.86 × 226,039.88
  4. Step 4: Simplify right side
    510,388.76x = 173,091,136,663.82
  5. Step 5: Solve for x
    x = 173,091,136,663.82/510,388.76
  6. Step 6: Final answer
    x = 339,135.87

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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.