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Finding the Fourth Proportional to 320,520.96, 480,650.22 and 142,906.50

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Solution

The fourth proportional to 320,520.96, 480,650.22 and 142,906.50 is: 214,301.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,520.96 : 480,650.22 = 142,906.50 : x
  2. Step 2: Convert to fraction form
    320,520.96/480,650.22 = 142,906.50/x
  3. Step 3: Cross multiply
    320,520.96x = 480,650.22 × 142,906.50
  4. Step 4: Simplify right side
    320,520.96x = 68,688,040,664.43
  5. Step 5: Solve for x
    x = 68,688,040,664.43/320,520.96
  6. Step 6: Final answer
    x = 214,301.24

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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.