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Finding the Fourth Proportional to 409,264.20, 613,896.30 and 379,739.70

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Solution

The fourth proportional to 409,264.20, 613,896.30 and 379,739.70 is: 569,609.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,264.20 : 613,896.30 = 379,739.70 : x
  2. Step 2: Convert to fraction form
    409,264.20/613,896.30 = 379,739.70/x
  3. Step 3: Cross multiply
    409,264.20x = 613,896.30 × 379,739.70
  4. Step 4: Simplify right side
    409,264.20x = 233,120,796,793.11
  5. Step 5: Solve for x
    x = 233,120,796,793.11/409,264.20
  6. Step 6: Final answer
    x = 569,609.55

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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.