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Finding the Fourth Proportional to 331,053.48, 496,284.90 and 275,350.56

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Solution

The fourth proportional to 331,053.48, 496,284.90 and 275,350.56 is: 412,780.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,053.48 : 496,284.90 = 275,350.56 : x
  2. Step 2: Convert to fraction form
    331,053.48/496,284.90 = 275,350.56/x
  3. Step 3: Cross multiply
    331,053.48x = 496,284.90 × 275,350.56
  4. Step 4: Simplify right side
    331,053.48x = 136,652,325,134.54
  5. Step 5: Solve for x
    x = 136,652,325,134.54/331,053.48
  6. Step 6: Final answer
    x = 412,780.21

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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.