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Finding the Fourth Proportional to 322,749.82, 445,144.51 and 208,047.14

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Solution

The fourth proportional to 322,749.82, 445,144.51 and 208,047.14 is: 286,943.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,749.82 : 445,144.51 = 208,047.14 : x
  2. Step 2: Convert to fraction form
    322,749.82/445,144.51 = 208,047.14/x
  3. Step 3: Cross multiply
    322,749.82x = 445,144.51 × 208,047.14
  4. Step 4: Simplify right side
    322,749.82x = 92,611,042,192.20
  5. Step 5: Solve for x
    x = 92,611,042,192.20/322,749.82
  6. Step 6: Final answer
    x = 286,943.75

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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.