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Finding the Fourth Proportional to 433,174.53, 649,763.17 and 196,240.42

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Solution

The fourth proportional to 433,174.53, 649,763.17 and 196,240.42 is: 294,361.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,174.53 : 649,763.17 = 196,240.42 : x
  2. Step 2: Convert to fraction form
    433,174.53/649,763.17 = 196,240.42/x
  3. Step 3: Cross multiply
    433,174.53x = 649,763.17 × 196,240.42
  4. Step 4: Simplify right side
    433,174.53x = 127,509,797,702.93
  5. Step 5: Solve for x
    x = 127,509,797,702.93/433,174.53
  6. Step 6: Final answer
    x = 294,361.25

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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.