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Finding the Fourth Proportional to 462,872.23, 694,128.84 and 159,208.65

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Solution

The fourth proportional to 462,872.23, 694,128.84 and 159,208.65 is: 238,751.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,872.23 : 694,128.84 = 159,208.65 : x
  2. Step 2: Convert to fraction form
    462,872.23/694,128.84 = 159,208.65/x
  3. Step 3: Cross multiply
    462,872.23x = 694,128.84 × 159,208.65
  4. Step 4: Simplify right side
    462,872.23x = 110,511,315,542.47
  5. Step 5: Solve for x
    x = 110,511,315,542.47/462,872.23
  6. Step 6: Final answer
    x = 238,751.23

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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.