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Finding the Fourth Proportional to 321,191.54, 443,149.17 and 193,814.90

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Solution

The fourth proportional to 321,191.54, 443,149.17 and 193,814.90 is: 267,407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,191.54 : 443,149.17 = 193,814.90 : x
  2. Step 2: Convert to fraction form
    321,191.54/443,149.17 = 193,814.90/x
  3. Step 3: Cross multiply
    321,191.54x = 443,149.17 × 193,814.90
  4. Step 4: Simplify right side
    321,191.54x = 85,888,912,068.63
  5. Step 5: Solve for x
    x = 85,888,912,068.63/321,191.54
  6. Step 6: Final answer
    x = 267,407.14

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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.