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Finding the Fourth Proportional to 396,108.80, 594,690.56 and 230,016

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Solution

The fourth proportional to 396,108.80, 594,690.56 and 230,016 is: 345,330.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,108.80 : 594,690.56 = 230,016 : x
  2. Step 2: Convert to fraction form
    396,108.80/594,690.56 = 230,016/x
  3. Step 3: Cross multiply
    396,108.80x = 594,690.56 × 230,016
  4. Step 4: Simplify right side
    396,108.80x = 136,788,343,848.96
  5. Step 5: Solve for x
    x = 136,788,343,848.96/396,108.80
  6. Step 6: Final answer
    x = 345,330.23

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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.