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Finding the Fourth Proportional to 392,297.16, 587,884.31 and 223,469.07

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Solution

The fourth proportional to 392,297.16, 587,884.31 and 223,469.07 is: 334,883.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,297.16 : 587,884.31 = 223,469.07 : x
  2. Step 2: Convert to fraction form
    392,297.16/587,884.31 = 223,469.07/x
  3. Step 3: Cross multiply
    392,297.16x = 587,884.31 × 223,469.07
  4. Step 4: Simplify right side
    392,297.16x = 131,373,960,023.29
  5. Step 5: Solve for x
    x = 131,373,960,023.29/392,297.16
  6. Step 6: Final answer
    x = 334,883.79

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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.