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Finding the Fourth Proportional to 307,546.83, 461,388 and 94,344.12

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Solution

The fourth proportional to 307,546.83, 461,388 and 94,344.12 is: 141,536.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,546.83 : 461,388 = 94,344.12 : x
  2. Step 2: Convert to fraction form
    307,546.83/461,388 = 94,344.12/x
  3. Step 3: Cross multiply
    307,546.83x = 461,388 × 94,344.12
  4. Step 4: Simplify right side
    307,546.83x = 43,529,244,838.56
  5. Step 5: Solve for x
    x = 43,529,244,838.56/307,546.83
  6. Step 6: Final answer
    x = 141,536.96

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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.