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Finding the Fourth Proportional to 323,493.36, 446,434.56 and 180,253.52

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Solution

The fourth proportional to 323,493.36, 446,434.56 and 180,253.52 is: 248,757.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,493.36 : 446,434.56 = 180,253.52 : x
  2. Step 2: Convert to fraction form
    323,493.36/446,434.56 = 180,253.52/x
  3. Step 3: Cross multiply
    323,493.36x = 446,434.56 × 180,253.52
  4. Step 4: Simplify right side
    323,493.36x = 80,471,400,889.65
  5. Step 5: Solve for x
    x = 80,471,400,889.65/323,493.36
  6. Step 6: Final answer
    x = 248,757.50

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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.