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Finding the Fourth Proportional to 713,247.75, 984,382.73 and 441,403.24

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Solution

The fourth proportional to 713,247.75, 984,382.73 and 441,403.24 is: 609,198.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,247.75 : 984,382.73 = 441,403.24 : x
  2. Step 2: Convert to fraction form
    713,247.75/984,382.73 = 441,403.24/x
  3. Step 3: Cross multiply
    713,247.75x = 984,382.73 × 441,403.24
  4. Step 4: Simplify right side
    713,247.75x = 434,509,726,422.05
  5. Step 5: Solve for x
    x = 434,509,726,422.05/713,247.75
  6. Step 6: Final answer
    x = 609,198.87

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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.