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Finding the Fourth Proportional to 323,332.56, 446,128.56 and 196,039.44

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Solution

The fourth proportional to 323,332.56, 446,128.56 and 196,039.44 is: 270,491.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,332.56 : 446,128.56 = 196,039.44 : x
  2. Step 2: Convert to fraction form
    323,332.56/446,128.56 = 196,039.44/x
  3. Step 3: Cross multiply
    323,332.56x = 446,128.56 × 196,039.44
  4. Step 4: Simplify right side
    323,332.56x = 87,458,793,070.41
  5. Step 5: Solve for x
    x = 87,458,793,070.41/323,332.56
  6. Step 6: Final answer
    x = 270,491.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.