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Finding the Fourth Proportional to 550,640.80, 825,961.20 and 382,679.20

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Solution

The fourth proportional to 550,640.80, 825,961.20 and 382,679.20 is: 574,018.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,640.80 : 825,961.20 = 382,679.20 : x
  2. Step 2: Convert to fraction form
    550,640.80/825,961.20 = 382,679.20/x
  3. Step 3: Cross multiply
    550,640.80x = 825,961.20 × 382,679.20
  4. Step 4: Simplify right side
    550,640.80x = 316,078,171,247.04
  5. Step 5: Solve for x
    x = 316,078,171,247.04/550,640.80
  6. Step 6: Final answer
    x = 574,018.80

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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.