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Finding the Fourth Proportional to 420,360.97, 580,360.58 and 269,720.41

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Solution

The fourth proportional to 420,360.97, 580,360.58 and 269,720.41 is: 372,382.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,360.97 : 580,360.58 = 269,720.41 : x
  2. Step 2: Convert to fraction form
    420,360.97/580,360.58 = 269,720.41/x
  3. Step 3: Cross multiply
    420,360.97x = 580,360.58 × 269,720.41
  4. Step 4: Simplify right side
    420,360.97x = 156,535,092,911.14
  5. Step 5: Solve for x
    x = 156,535,092,911.14/420,360.97
  6. Step 6: Final answer
    x = 372,382.56

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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.