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Finding the Fourth Proportional to 276,094.80, 414,142.20 and 226,231.20

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Solution

The fourth proportional to 276,094.80, 414,142.20 and 226,231.20 is: 339,346.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,094.80 : 414,142.20 = 226,231.20 : x
  2. Step 2: Convert to fraction form
    276,094.80/414,142.20 = 226,231.20/x
  3. Step 3: Cross multiply
    276,094.80x = 414,142.20 × 226,231.20
  4. Step 4: Simplify right side
    276,094.80x = 93,691,886,876.64
  5. Step 5: Solve for x
    x = 93,691,886,876.64/276,094.80
  6. Step 6: Final answer
    x = 339,346.80

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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.