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Finding the Fourth Proportional to 820,149.28, 1,131,806.16 and 462,453.28

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Solution

The fourth proportional to 820,149.28, 1,131,806.16 and 462,453.28 is: 638,185.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,149.28 : 1,131,806.16 = 462,453.28 : x
  2. Step 2: Convert to fraction form
    820,149.28/1,131,806.16 = 462,453.28/x
  3. Step 3: Cross multiply
    820,149.28x = 1,131,806.16 × 462,453.28
  4. Step 4: Simplify right side
    820,149.28x = 523,407,471,016.21
  5. Step 5: Solve for x
    x = 523,407,471,016.21/820,149.28
  6. Step 6: Final answer
    x = 638,185.61

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Why These Related Problems?

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