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Finding the Fourth Proportional to 396,048.30, 594,072.45 and 182,815.80

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Solution

The fourth proportional to 396,048.30, 594,072.45 and 182,815.80 is: 274,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,048.30 : 594,072.45 = 182,815.80 : x
  2. Step 2: Convert to fraction form
    396,048.30/594,072.45 = 182,815.80/x
  3. Step 3: Cross multiply
    396,048.30x = 594,072.45 × 182,815.80
  4. Step 4: Simplify right side
    396,048.30x = 108,605,830,204.71
  5. Step 5: Solve for x
    x = 108,605,830,204.71/396,048.30
  6. Step 6: Final answer
    x = 274,223.70

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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.