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Finding the Fourth Proportional to 362,563.74, 543,286.71 and 194,106.42

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Solution

The fourth proportional to 362,563.74, 543,286.71 and 194,106.42 is: 290,860.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,563.74 : 543,286.71 = 194,106.42 : x
  2. Step 2: Convert to fraction form
    362,563.74/543,286.71 = 194,106.42/x
  3. Step 3: Cross multiply
    362,563.74x = 543,286.71 × 194,106.42
  4. Step 4: Simplify right side
    362,563.74x = 105,455,438,311.68
  5. Step 5: Solve for x
    x = 105,455,438,311.68/362,563.74
  6. Step 6: Final answer
    x = 290,860.41

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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.