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Finding the Fourth Proportional to 420,163.68, 580,039.92 and 324,455.52

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Solution

The fourth proportional to 420,163.68, 580,039.92 and 324,455.52 is: 447,913.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,163.68 : 580,039.92 = 324,455.52 : x
  2. Step 2: Convert to fraction form
    420,163.68/580,039.92 = 324,455.52/x
  3. Step 3: Cross multiply
    420,163.68x = 580,039.92 × 324,455.52
  4. Step 4: Simplify right side
    420,163.68x = 188,197,153,864.36
  5. Step 5: Solve for x
    x = 188,197,153,864.36/420,163.68
  6. Step 6: Final answer
    x = 447,913.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.