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Finding the Fourth Proportional to 499,704.56, 749,508.24 and 274,991.12

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Solution

The fourth proportional to 499,704.56, 749,508.24 and 274,991.12 is: 412,459.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,704.56 : 749,508.24 = 274,991.12 : x
  2. Step 2: Convert to fraction form
    499,704.56/749,508.24 = 274,991.12/x
  3. Step 3: Cross multiply
    499,704.56x = 749,508.24 × 274,991.12
  4. Step 4: Simplify right side
    499,704.56x = 206,108,110,366.83
  5. Step 5: Solve for x
    x = 206,108,110,366.83/499,704.56
  6. Step 6: Final answer
    x = 412,459.94

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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.