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Finding the Fourth Proportional to 356,467.38, 491,906.25 and 203,499.54

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Solution

The fourth proportional to 356,467.38, 491,906.25 and 203,499.54 is: 280,818.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,467.38 : 491,906.25 = 203,499.54 : x
  2. Step 2: Convert to fraction form
    356,467.38/491,906.25 = 203,499.54/x
  3. Step 3: Cross multiply
    356,467.38x = 491,906.25 × 203,499.54
  4. Step 4: Simplify right side
    356,467.38x = 100,102,695,598.13
  5. Step 5: Solve for x
    x = 100,102,695,598.13/356,467.38
  6. Step 6: Final answer
    x = 280,818.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.