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Finding the Fourth Proportional to 506,493.11, 758,453.74 and 303,961.73

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Solution

The fourth proportional to 506,493.11, 758,453.74 and 303,961.73 is: 455,170.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,493.11 : 758,453.74 = 303,961.73 : x
  2. Step 2: Convert to fraction form
    506,493.11/758,453.74 = 303,961.73/x
  3. Step 3: Cross multiply
    506,493.11x = 758,453.74 × 303,961.73
  4. Step 4: Simplify right side
    506,493.11x = 230,540,906,383.20
  5. Step 5: Solve for x
    x = 230,540,906,383.20/506,493.11
  6. Step 6: Final answer
    x = 455,170.86

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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.