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Finding the Fourth Proportional to 323,498.98, 446,422.56 and 180,255.97

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Solution

The fourth proportional to 323,498.98, 446,422.56 and 180,255.97 is: 248,749.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,498.98 : 446,422.56 = 180,255.97 : x
  2. Step 2: Convert to fraction form
    323,498.98/446,422.56 = 180,255.97/x
  3. Step 3: Cross multiply
    323,498.98x = 446,422.56 × 180,255.97
  4. Step 4: Simplify right side
    323,498.98x = 80,470,331,582.68
  5. Step 5: Solve for x
    x = 80,470,331,582.68/323,498.98
  6. Step 6: Final answer
    x = 248,749.88

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1.5x scale

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.