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Finding the Fourth Proportional to 320,526.96, 480,659.22 and 142,912.50

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Solution

The fourth proportional to 320,526.96, 480,659.22 and 142,912.50 is: 214,310.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,526.96 : 480,659.22 = 142,912.50 : x
  2. Step 2: Convert to fraction form
    320,526.96/480,659.22 = 142,912.50/x
  3. Step 3: Cross multiply
    320,526.96x = 480,659.22 × 142,912.50
  4. Step 4: Simplify right side
    320,526.96x = 68,692,210,778.25
  5. Step 5: Solve for x
    x = 68,692,210,778.25/320,526.96
  6. Step 6: Final answer
    x = 214,310.24

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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.