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Finding the Fourth Proportional to 432,586.80, 648,942.30 and 133,092.54

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Solution

The fourth proportional to 432,586.80, 648,942.30 and 133,092.54 is: 199,657.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,586.80 : 648,942.30 = 133,092.54 : x
  2. Step 2: Convert to fraction form
    432,586.80/648,942.30 = 133,092.54/x
  3. Step 3: Cross multiply
    432,586.80x = 648,942.30 × 133,092.54
  4. Step 4: Simplify right side
    432,586.80x = 86,369,379,020.44
  5. Step 5: Solve for x
    x = 86,369,379,020.44/432,586.80
  6. Step 6: Final answer
    x = 199,657.92

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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.