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Finding the Fourth Proportional to 392,940.16, 589,414.38 and 314,552.68

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Solution

The fourth proportional to 392,940.16, 589,414.38 and 314,552.68 is: 471,832.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,940.16 : 589,414.38 = 314,552.68 : x
  2. Step 2: Convert to fraction form
    392,940.16/589,414.38 = 314,552.68/x
  3. Step 3: Cross multiply
    392,940.16x = 589,414.38 × 314,552.68
  4. Step 4: Simplify right side
    392,940.16x = 185,401,872,859.54
  5. Step 5: Solve for x
    x = 185,401,872,859.54/392,940.16
  6. Step 6: Final answer
    x = 471,832.33

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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.