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Finding the Fourth Proportional to 409,367.99, 613,373.14 and 248,958.73

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Solution

The fourth proportional to 409,367.99, 613,373.14 and 248,958.73 is: 373,025.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,367.99 : 613,373.14 = 248,958.73 : x
  2. Step 2: Convert to fraction form
    409,367.99/613,373.14 = 248,958.73/x
  3. Step 3: Cross multiply
    409,367.99x = 613,373.14 × 248,958.73
  4. Step 4: Simplify right side
    409,367.99x = 152,704,599,028.43
  5. Step 5: Solve for x
    x = 152,704,599,028.43/409,367.99
  6. Step 6: Final answer
    x = 373,025.25

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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.