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Finding the Fourth Proportional to 510,198.74, 765,033.38 and 150,322.87

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Solution

The fourth proportional to 510,198.74, 765,033.38 and 150,322.87 is: 225,406.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,198.74 : 765,033.38 = 150,322.87 : x
  2. Step 2: Convert to fraction form
    510,198.74/765,033.38 = 150,322.87/x
  3. Step 3: Cross multiply
    510,198.74x = 765,033.38 × 150,322.87
  4. Step 4: Simplify right side
    510,198.74x = 115,002,010,663.20
  5. Step 5: Solve for x
    x = 115,002,010,663.20/510,198.74
  6. Step 6: Final answer
    x = 225,406.30

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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.