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Finding the Fourth Proportional to 417,126.78, 625,738.77 and 151,012.62

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Solution

The fourth proportional to 417,126.78, 625,738.77 and 151,012.62 is: 226,536.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,126.78 : 625,738.77 = 151,012.62 : x
  2. Step 2: Convert to fraction form
    417,126.78/625,738.77 = 151,012.62/x
  3. Step 3: Cross multiply
    417,126.78x = 625,738.77 × 151,012.62
  4. Step 4: Simplify right side
    417,126.78x = 94,494,451,093.28
  5. Step 5: Solve for x
    x = 94,494,451,093.28/417,126.78
  6. Step 6: Final answer
    x = 226,536.52

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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.