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Finding the Fourth Proportional to 510,628.84, 765,410.82 and 285,659.44

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Solution

The fourth proportional to 510,628.84, 765,410.82 and 285,659.44 is: 428,191.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,628.84 : 765,410.82 = 285,659.44 : x
  2. Step 2: Convert to fraction form
    510,628.84/765,410.82 = 285,659.44/x
  3. Step 3: Cross multiply
    510,628.84x = 765,410.82 × 285,659.44
  4. Step 4: Simplify right side
    510,628.84x = 218,646,826,211.14
  5. Step 5: Solve for x
    x = 218,646,826,211.14/510,628.84
  6. Step 6: Final answer
    x = 428,191.30

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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.