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Finding the Fourth Proportional to 362,198.42, 543,076.19 and 172,716.74

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Solution

The fourth proportional to 362,198.42, 543,076.19 and 172,716.74 is: 258,969.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,198.42 : 543,076.19 = 172,716.74 : x
  2. Step 2: Convert to fraction form
    362,198.42/543,076.19 = 172,716.74/x
  3. Step 3: Cross multiply
    362,198.42x = 543,076.19 × 172,716.74
  4. Step 4: Simplify right side
    362,198.42x = 93,798,345,529.46
  5. Step 5: Solve for x
    x = 93,798,345,529.46/362,198.42
  6. Step 6: Final answer
    x = 258,969.51

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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.