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Finding the Fourth Proportional to 214,711.80, 322,067.70 and 197,604.60

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Solution

The fourth proportional to 214,711.80, 322,067.70 and 197,604.60 is: 296,406.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,711.80 : 322,067.70 = 197,604.60 : x
  2. Step 2: Convert to fraction form
    214,711.80/322,067.70 = 197,604.60/x
  3. Step 3: Cross multiply
    214,711.80x = 322,067.70 × 197,604.60
  4. Step 4: Simplify right side
    214,711.80x = 63,642,059,031.42
  5. Step 5: Solve for x
    x = 63,642,059,031.42/214,711.80
  6. Step 6: Final answer
    x = 296,406.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.