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Finding the Fourth Proportional to 321,205.40, 481,808.10 and 171,906.20

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Solution

The fourth proportional to 321,205.40, 481,808.10 and 171,906.20 is: 257,859.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,205.40 : 481,808.10 = 171,906.20 : x
  2. Step 2: Convert to fraction form
    321,205.40/481,808.10 = 171,906.20/x
  3. Step 3: Cross multiply
    321,205.40x = 481,808.10 × 171,906.20
  4. Step 4: Simplify right side
    321,205.40x = 82,825,799,600.22
  5. Step 5: Solve for x
    x = 82,825,799,600.22/321,205.40
  6. Step 6: Final answer
    x = 257,859.30

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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.