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Finding the Fourth Proportional to 321,213.57, 443,256.21 and 177,965.07

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Solution

The fourth proportional to 321,213.57, 443,256.21 and 177,965.07 is: 245,581.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,213.57 : 443,256.21 = 177,965.07 : x
  2. Step 2: Convert to fraction form
    321,213.57/443,256.21 = 177,965.07/x
  3. Step 3: Cross multiply
    321,213.57x = 443,256.21 × 177,965.07
  4. Step 4: Simplify right side
    321,213.57x = 78,884,122,440.58
  5. Step 5: Solve for x
    x = 78,884,122,440.58/321,213.57
  6. Step 6: Final answer
    x = 245,581.54

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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.