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Finding the Fourth Proportional to 397,872.80, 596,809.20 and 161,223.20

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Solution

The fourth proportional to 397,872.80, 596,809.20 and 161,223.20 is: 241,834.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,872.80 : 596,809.20 = 161,223.20 : x
  2. Step 2: Convert to fraction form
    397,872.80/596,809.20 = 161,223.20/x
  3. Step 3: Cross multiply
    397,872.80x = 596,809.20 × 161,223.20
  4. Step 4: Simplify right side
    397,872.80x = 96,219,489,013.44
  5. Step 5: Solve for x
    x = 96,219,489,013.44/397,872.80
  6. Step 6: Final answer
    x = 241,834.80

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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.