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Finding the Fourth Proportional to 275,216.40, 412,833.24 and 97,720.56

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Solution

The fourth proportional to 275,216.40, 412,833.24 and 97,720.56 is: 146,583.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,216.40 : 412,833.24 = 97,720.56 : x
  2. Step 2: Convert to fraction form
    275,216.40/412,833.24 = 97,720.56/x
  3. Step 3: Cross multiply
    275,216.40x = 412,833.24 × 97,720.56
  4. Step 4: Simplify right side
    275,216.40x = 40,342,295,399.41
  5. Step 5: Solve for x
    x = 40,342,295,399.41/275,216.40
  6. Step 6: Final answer
    x = 146,583.91

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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.