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Finding the Fourth Proportional to 313,644, 470,466.36 and 85,941.54

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Solution

The fourth proportional to 313,644, 470,466.36 and 85,941.54 is: 128,912.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,644 : 470,466.36 = 85,941.54 : x
  2. Step 2: Convert to fraction form
    313,644/470,466.36 = 85,941.54/x
  3. Step 3: Cross multiply
    313,644x = 470,466.36 × 85,941.54
  4. Step 4: Simplify right side
    313,644x = 40,432,603,496.59
  5. Step 5: Solve for x
    x = 40,432,603,496.59/313,644
  6. Step 6: Final answer
    x = 128,912.41

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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.