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Finding the Fourth Proportional to 343,961.16, 474,640.36 and 193,029

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Solution

The fourth proportional to 343,961.16, 474,640.36 and 193,029 is: 266,365.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,961.16 : 474,640.36 = 193,029 : x
  2. Step 2: Convert to fraction form
    343,961.16/474,640.36 = 193,029/x
  3. Step 3: Cross multiply
    343,961.16x = 474,640.36 × 193,029
  4. Step 4: Simplify right side
    343,961.16x = 91,619,354,050.44
  5. Step 5: Solve for x
    x = 91,619,354,050.44/343,961.16
  6. Step 6: Final answer
    x = 266,365.41

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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.