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Finding the Fourth Proportional to 463,028.56, 694,069.22 and 313,284.66

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Solution

The fourth proportional to 463,028.56, 694,069.22 and 313,284.66 is: 469,606.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,028.56 : 694,069.22 = 313,284.66 : x
  2. Step 2: Convert to fraction form
    463,028.56/694,069.22 = 313,284.66/x
  3. Step 3: Cross multiply
    463,028.56x = 694,069.22 × 313,284.66
  4. Step 4: Simplify right side
    463,028.56x = 217,441,239,604.17
  5. Step 5: Solve for x
    x = 217,441,239,604.17/463,028.56
  6. Step 6: Final answer
    x = 469,606.54

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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.