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Finding the Fourth Proportional to 343,944, 474,642.72 and 193,041

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Solution

The fourth proportional to 343,944, 474,642.72 and 193,041 is: 266,396.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,944 : 474,642.72 = 193,041 : x
  2. Step 2: Convert to fraction form
    343,944/474,642.72 = 193,041/x
  3. Step 3: Cross multiply
    343,944x = 474,642.72 × 193,041
  4. Step 4: Simplify right side
    343,944x = 91,625,505,311.52
  5. Step 5: Solve for x
    x = 91,625,505,311.52/343,944
  6. Step 6: Final answer
    x = 266,396.58

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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.