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Finding the Fourth Proportional to 420,738.53, 580,664.94 and 259,589.44

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Solution

The fourth proportional to 420,738.53, 580,664.94 and 259,589.44 is: 358,261.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,738.53 : 580,664.94 = 259,589.44 : x
  2. Step 2: Convert to fraction form
    420,738.53/580,664.94 = 259,589.44/x
  3. Step 3: Cross multiply
    420,738.53x = 580,664.94 × 259,589.44
  4. Step 4: Simplify right side
    420,738.53x = 150,734,483,698.91
  5. Step 5: Solve for x
    x = 150,734,483,698.91/420,738.53
  6. Step 6: Final answer
    x = 358,261.66

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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.