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Finding the Fourth Proportional to 462,872.25, 694,128.90 and 159,208.67

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Solution

The fourth proportional to 462,872.25, 694,128.90 and 159,208.67 is: 238,751.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,872.25 : 694,128.90 = 159,208.67 : x
  2. Step 2: Convert to fraction form
    462,872.25/694,128.90 = 159,208.67/x
  3. Step 3: Cross multiply
    462,872.25x = 694,128.90 × 159,208.67
  4. Step 4: Simplify right side
    462,872.25x = 110,511,335,506.92
  5. Step 5: Solve for x
    x = 110,511,335,506.92/462,872.25
  6. Step 6: Final answer
    x = 238,751.27

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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.