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Finding the Fourth Proportional to 396,116.80, 594,702.56 and 230,024

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Solution

The fourth proportional to 396,116.80, 594,702.56 and 230,024 is: 345,342.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,116.80 : 594,702.56 = 230,024 : x
  2. Step 2: Convert to fraction form
    396,116.80/594,702.56 = 230,024/x
  3. Step 3: Cross multiply
    396,116.80x = 594,702.56 × 230,024
  4. Step 4: Simplify right side
    396,116.80x = 136,795,861,661.44
  5. Step 5: Solve for x
    x = 136,795,861,661.44/396,116.80
  6. Step 6: Final answer
    x = 345,342.24

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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.