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Finding the Fourth Proportional to 467,095.14, 644,696.21 and 305,856.54

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Solution

The fourth proportional to 467,095.14, 644,696.21 and 305,856.54 is: 422,150.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,095.14 : 644,696.21 = 305,856.54 : x
  2. Step 2: Convert to fraction form
    467,095.14/644,696.21 = 305,856.54/x
  3. Step 3: Cross multiply
    467,095.14x = 644,696.21 × 305,856.54
  4. Step 4: Simplify right side
    467,095.14x = 197,184,552,906.36
  5. Step 5: Solve for x
    x = 197,184,552,906.36/467,095.14
  6. Step 6: Final answer
    x = 422,150.73

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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.