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Finding the Fourth Proportional to 396,551.29, 594,622.81 and 159,830.41

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Solution

The fourth proportional to 396,551.29, 594,622.81 and 159,830.41 is: 239,663.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,551.29 : 594,622.81 = 159,830.41 : x
  2. Step 2: Convert to fraction form
    396,551.29/594,622.81 = 159,830.41/x
  3. Step 3: Cross multiply
    396,551.29x = 594,622.81 × 159,830.41
  4. Step 4: Simplify right side
    396,551.29x = 95,038,807,517.65
  5. Step 5: Solve for x
    x = 95,038,807,517.65/396,551.29
  6. Step 6: Final answer
    x = 239,663.34

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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.