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Finding the Fourth Proportional to 323,494.48, 446,416.37 and 180,251.47

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Solution

The fourth proportional to 323,494.48, 446,416.37 and 180,251.47 is: 248,743.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,494.48 : 446,416.37 = 180,251.47 : x
  2. Step 2: Convert to fraction form
    323,494.48/446,416.37 = 180,251.47/x
  3. Step 3: Cross multiply
    323,494.48x = 446,416.37 × 180,251.47
  4. Step 4: Simplify right side
    323,494.48x = 80,467,206,023.31
  5. Step 5: Solve for x
    x = 80,467,206,023.31/323,494.48
  6. Step 6: Final answer
    x = 248,743.68

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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.