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Finding the Fourth Proportional to 412,735.13, 569,695.43 and 269,517.41

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Solution

The fourth proportional to 412,735.13, 569,695.43 and 269,517.41 is: 372,013.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,735.13 : 569,695.43 = 269,517.41 : x
  2. Step 2: Convert to fraction form
    412,735.13/569,695.43 = 269,517.41/x
  3. Step 3: Cross multiply
    412,735.13x = 569,695.43 × 269,517.41
  4. Step 4: Simplify right side
    412,735.13x = 153,542,835,434.85
  5. Step 5: Solve for x
    x = 153,542,835,434.85/412,735.13
  6. Step 6: Final answer
    x = 372,013.00

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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.