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Finding the Fourth Proportional to 311,101.80, 466,998.30 and 192,906.60

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Solution

The fourth proportional to 311,101.80, 466,998.30 and 192,906.60 is: 289,574.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,101.80 : 466,998.30 = 192,906.60 : x
  2. Step 2: Convert to fraction form
    311,101.80/466,998.30 = 192,906.60/x
  3. Step 3: Cross multiply
    311,101.80x = 466,998.30 × 192,906.60
  4. Step 4: Simplify right side
    311,101.80x = 90,087,054,258.78
  5. Step 5: Solve for x
    x = 90,087,054,258.78/311,101.80
  6. Step 6: Final answer
    x = 289,574.20

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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.