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Finding the Fourth Proportional to 362,642.87, 543,963.40 and 96,403.26

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Solution

The fourth proportional to 362,642.87, 543,963.40 and 96,403.26 is: 144,604.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,642.87 : 543,963.40 = 96,403.26 : x
  2. Step 2: Convert to fraction form
    362,642.87/543,963.40 = 96,403.26/x
  3. Step 3: Cross multiply
    362,642.87x = 543,963.40 × 96,403.26
  4. Step 4: Simplify right side
    362,642.87x = 52,439,846,879.54
  5. Step 5: Solve for x
    x = 52,439,846,879.54/362,642.87
  6. Step 6: Final answer
    x = 144,604.65

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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.