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Finding the Fourth Proportional to 307,339.24, 461,008.94 and 96,993.64

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Solution

The fourth proportional to 307,339.24, 461,008.94 and 96,993.64 is: 145,490.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,339.24 : 461,008.94 = 96,993.64 : x
  2. Step 2: Convert to fraction form
    307,339.24/461,008.94 = 96,993.64/x
  3. Step 3: Cross multiply
    307,339.24x = 461,008.94 × 96,993.64
  4. Step 4: Simplify right side
    307,339.24x = 44,714,935,163.14
  5. Step 5: Solve for x
    x = 44,714,935,163.14/307,339.24
  6. Step 6: Final answer
    x = 145,490.49

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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.