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Finding the Fourth Proportional to 296,958.26, 409,846.77 and 233,771.54

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Solution

The fourth proportional to 296,958.26, 409,846.77 and 233,771.54 is: 322,639.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,958.26 : 409,846.77 = 233,771.54 : x
  2. Step 2: Convert to fraction form
    296,958.26/409,846.77 = 233,771.54/x
  3. Step 3: Cross multiply
    296,958.26x = 409,846.77 × 233,771.54
  4. Step 4: Simplify right side
    296,958.26x = 95,810,510,586.93
  5. Step 5: Solve for x
    x = 95,810,510,586.93/296,958.26
  6. Step 6: Final answer
    x = 322,639.66

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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.