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Finding the Fourth Proportional to 331,013.80, 496,640.94 and 162,516.16

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Solution

The fourth proportional to 331,013.80, 496,640.94 and 162,516.16 is: 243,833.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,013.80 : 496,640.94 = 162,516.16 : x
  2. Step 2: Convert to fraction form
    331,013.80/496,640.94 = 162,516.16/x
  3. Step 3: Cross multiply
    331,013.80x = 496,640.94 × 162,516.16
  4. Step 4: Simplify right side
    331,013.80x = 80,712,178,467.59
  5. Step 5: Solve for x
    x = 80,712,178,467.59/331,013.80
  6. Step 6: Final answer
    x = 243,833.27

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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.