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Finding the Fourth Proportional to 397,231.20, 595,846.80 and 229,269.60

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Solution

The fourth proportional to 397,231.20, 595,846.80 and 229,269.60 is: 343,904.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,231.20 : 595,846.80 = 229,269.60 : x
  2. Step 2: Convert to fraction form
    397,231.20/595,846.80 = 229,269.60/x
  3. Step 3: Cross multiply
    397,231.20x = 595,846.80 × 229,269.60
  4. Step 4: Simplify right side
    397,231.20x = 136,609,557,497.28
  5. Step 5: Solve for x
    x = 136,609,557,497.28/397,231.20
  6. Step 6: Final answer
    x = 343,904.40

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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.