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Finding the Fourth Proportional to 308,896.80, 462,826.80 and 264,314.40

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Solution

The fourth proportional to 308,896.80, 462,826.80 and 264,314.40 is: 396,028.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,896.80 : 462,826.80 = 264,314.40 : x
  2. Step 2: Convert to fraction form
    308,896.80/462,826.80 = 264,314.40/x
  3. Step 3: Cross multiply
    308,896.80x = 462,826.80 × 264,314.40
  4. Step 4: Simplify right side
    308,896.80x = 122,331,787,945.92
  5. Step 5: Solve for x
    x = 122,331,787,945.92/308,896.80
  6. Step 6: Final answer
    x = 396,028.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.