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Finding the Fourth Proportional to 396,095.80, 594,243.22 and 183,014.50

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Solution

The fourth proportional to 396,095.80, 594,243.22 and 183,014.50 is: 274,567.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,095.80 : 594,243.22 = 183,014.50 : x
  2. Step 2: Convert to fraction form
    396,095.80/594,243.22 = 183,014.50/x
  3. Step 3: Cross multiply
    396,095.80x = 594,243.22 × 183,014.50
  4. Step 4: Simplify right side
    396,095.80x = 108,755,125,786.69
  5. Step 5: Solve for x
    x = 108,755,125,786.69/396,095.80
  6. Step 6: Final answer
    x = 274,567.73

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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.