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Finding the Fourth Proportional to 408,096.20, 611,546.70 and 365,976.20

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Solution

The fourth proportional to 408,096.20, 611,546.70 and 365,976.20 is: 548,428.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,096.20 : 611,546.70 = 365,976.20 : x
  2. Step 2: Convert to fraction form
    408,096.20/611,546.70 = 365,976.20/x
  3. Step 3: Cross multiply
    408,096.20x = 611,546.70 × 365,976.20
  4. Step 4: Simplify right side
    408,096.20x = 223,811,537,388.54
  5. Step 5: Solve for x
    x = 223,811,537,388.54/408,096.20
  6. Step 6: Final answer
    x = 548,428.38

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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.