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Finding the Fourth Proportional to 320,496.32, 442,276.80 and 177,252.80

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Solution

The fourth proportional to 320,496.32, 442,276.80 and 177,252.80 is: 244,604.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,496.32 : 442,276.80 = 177,252.80 : x
  2. Step 2: Convert to fraction form
    320,496.32/442,276.80 = 177,252.80/x
  3. Step 3: Cross multiply
    320,496.32x = 442,276.80 × 177,252.80
  4. Step 4: Simplify right side
    320,496.32x = 78,394,801,175.04
  5. Step 5: Solve for x
    x = 78,394,801,175.04/320,496.32
  6. Step 6: Final answer
    x = 244,604.37

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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.