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Finding the Fourth Proportional to 408,076.20, 612,114.30 and 186,892.20

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Solution

The fourth proportional to 408,076.20, 612,114.30 and 186,892.20 is: 280,338.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,076.20 : 612,114.30 = 186,892.20 : x
  2. Step 2: Convert to fraction form
    408,076.20/612,114.30 = 186,892.20/x
  3. Step 3: Cross multiply
    408,076.20x = 612,114.30 × 186,892.20
  4. Step 4: Simplify right side
    408,076.20x = 114,399,388,178.46
  5. Step 5: Solve for x
    x = 114,399,388,178.46/408,076.20
  6. Step 6: Final answer
    x = 280,338.30

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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.