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Finding the Fourth Proportional to 412,640.16, 569,544.71 and 251,584.01

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Solution

The fourth proportional to 412,640.16, 569,544.71 and 251,584.01 is: 347,247.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,640.16 : 569,544.71 = 251,584.01 : x
  2. Step 2: Convert to fraction form
    412,640.16/569,544.71 = 251,584.01/x
  3. Step 3: Cross multiply
    412,640.16x = 569,544.71 × 251,584.01
  4. Step 4: Simplify right side
    412,640.16x = 143,288,337,910.44
  5. Step 5: Solve for x
    x = 143,288,337,910.44/412,640.16
  6. Step 6: Final answer
    x = 347,247.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.