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Finding the Fourth Proportional to 329,393.43, 494,119.32 and 92,738.16

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Solution

The fourth proportional to 329,393.43, 494,119.32 and 92,738.16 is: 139,115.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,393.43 : 494,119.32 = 92,738.16 : x
  2. Step 2: Convert to fraction form
    329,393.43/494,119.32 = 92,738.16/x
  3. Step 3: Cross multiply
    329,393.43x = 494,119.32 × 92,738.16
  4. Step 4: Simplify right side
    329,393.43x = 45,823,716,557.25
  5. Step 5: Solve for x
    x = 45,823,716,557.25/329,393.43
  6. Step 6: Final answer
    x = 139,115.45

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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.