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Finding the Fourth Proportional to 405,414.45, 608,220.63 and 285,704.82

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Solution

The fourth proportional to 405,414.45, 608,220.63 and 285,704.82 is: 428,626.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,414.45 : 608,220.63 = 285,704.82 : x
  2. Step 2: Convert to fraction form
    405,414.45/608,220.63 = 285,704.82/x
  3. Step 3: Cross multiply
    405,414.45x = 608,220.63 × 285,704.82
  4. Step 4: Simplify right side
    405,414.45x = 173,771,565,614.44
  5. Step 5: Solve for x
    x = 173,771,565,614.44/405,414.45
  6. Step 6: Final answer
    x = 428,626.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.