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Finding the Fourth Proportional to 217,171.94, 324,272.46 and 194,536.49

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Solution

The fourth proportional to 217,171.94, 324,272.46 and 194,536.49 is: 290,474.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,171.94 : 324,272.46 = 194,536.49 : x
  2. Step 2: Convert to fraction form
    217,171.94/324,272.46 = 194,536.49/x
  3. Step 3: Cross multiply
    217,171.94x = 324,272.46 × 194,536.49
  4. Step 4: Simplify right side
    217,171.94x = 63,082,825,280.21
  5. Step 5: Solve for x
    x = 63,082,825,280.21/217,171.94
  6. Step 6: Final answer
    x = 290,474.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.