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Finding the Fourth Proportional to 496,755, 745,202.58 and 159,682.68

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Solution

The fourth proportional to 496,755, 745,202.58 and 159,682.68 is: 239,546.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,755 : 745,202.58 = 159,682.68 : x
  2. Step 2: Convert to fraction form
    496,755/745,202.58 = 159,682.68/x
  3. Step 3: Cross multiply
    496,755x = 745,202.58 × 159,682.68
  4. Step 4: Simplify right side
    496,755x = 118,995,945,117.31
  5. Step 5: Solve for x
    x = 118,995,945,117.31/496,755
  6. Step 6: Final answer
    x = 239,546.55

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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.