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Finding the Fourth Proportional to 361,495.44, 541,650.24 and 256,126.32

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Solution

The fourth proportional to 361,495.44, 541,650.24 and 256,126.32 is: 383,769.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,495.44 : 541,650.24 = 256,126.32 : x
  2. Step 2: Convert to fraction form
    361,495.44/541,650.24 = 256,126.32/x
  3. Step 3: Cross multiply
    361,495.44x = 541,650.24 × 256,126.32
  4. Step 4: Simplify right side
    361,495.44x = 138,730,882,698.32
  5. Step 5: Solve for x
    x = 138,730,882,698.32/361,495.44
  6. Step 6: Final answer
    x = 383,769.39

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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.