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Finding the Fourth Proportional to 420,593.36, 580,418.28 and 269,690

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Solution

The fourth proportional to 420,593.36, 580,418.28 and 269,690 is: 372,171.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,593.36 : 580,418.28 = 269,690 : x
  2. Step 2: Convert to fraction form
    420,593.36/580,418.28 = 269,690/x
  3. Step 3: Cross multiply
    420,593.36x = 580,418.28 × 269,690
  4. Step 4: Simplify right side
    420,593.36x = 156,533,005,933.20
  5. Step 5: Solve for x
    x = 156,533,005,933.20/420,593.36
  6. Step 6: Final answer
    x = 372,171.84

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