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Finding the Fourth Proportional to 410,846.50, 616,321.59 and 141,027.22

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Solution

The fourth proportional to 410,846.50, 616,321.59 and 141,027.22 is: 211,558.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,846.50 : 616,321.59 = 141,027.22 : x
  2. Step 2: Convert to fraction form
    410,846.50/616,321.59 = 141,027.22/x
  3. Step 3: Cross multiply
    410,846.50x = 616,321.59 × 141,027.22
  4. Step 4: Simplify right side
    410,846.50x = 86,918,120,463.68
  5. Step 5: Solve for x
    x = 86,918,120,463.68/410,846.50
  6. Step 6: Final answer
    x = 211,558.62

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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.