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Finding the Fourth Proportional to 321,267.16, 443,351.31 and 178,029.59

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Solution

The fourth proportional to 321,267.16, 443,351.31 and 178,029.59 is: 245,682.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,267.16 : 443,351.31 = 178,029.59 : x
  2. Step 2: Convert to fraction form
    321,267.16/443,351.31 = 178,029.59/x
  3. Step 3: Cross multiply
    321,267.16x = 443,351.31 × 178,029.59
  4. Step 4: Simplify right side
    321,267.16x = 78,929,651,945.26
  5. Step 5: Solve for x
    x = 78,929,651,945.26/321,267.16
  6. Step 6: Final answer
    x = 245,682.29

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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.