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Finding the Fourth Proportional to 298,174.56, 447,469.20 and 192,732

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Solution

The fourth proportional to 298,174.56, 447,469.20 and 192,732 is: 289,232.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,174.56 : 447,469.20 = 192,732 : x
  2. Step 2: Convert to fraction form
    298,174.56/447,469.20 = 192,732/x
  3. Step 3: Cross multiply
    298,174.56x = 447,469.20 × 192,732
  4. Step 4: Simplify right side
    298,174.56x = 86,241,633,854.40
  5. Step 5: Solve for x
    x = 86,241,633,854.40/298,174.56
  6. Step 6: Final answer
    x = 289,232.03

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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.