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Finding the Fourth Proportional to 510,575.60, 765,946.52 and 150,782.86

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Solution

The fourth proportional to 510,575.60, 765,946.52 and 150,782.86 is: 226,198.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,575.60 : 765,946.52 = 150,782.86 : x
  2. Step 2: Convert to fraction form
    510,575.60/765,946.52 = 150,782.86/x
  3. Step 3: Cross multiply
    510,575.60x = 765,946.52 × 150,782.86
  4. Step 4: Simplify right side
    510,575.60x = 115,491,606,892.65
  5. Step 5: Solve for x
    x = 115,491,606,892.65/510,575.60
  6. Step 6: Final answer
    x = 226,198.84

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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.