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Finding the Fourth Proportional to 397,069.20, 594,748.44 and 186,391.44

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Solution

The fourth proportional to 397,069.20, 594,748.44 and 186,391.44 is: 279,185.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,069.20 : 594,748.44 = 186,391.44 : x
  2. Step 2: Convert to fraction form
    397,069.20/594,748.44 = 186,391.44/x
  3. Step 3: Cross multiply
    397,069.20x = 594,748.44 × 186,391.44
  4. Step 4: Simplify right side
    397,069.20x = 110,856,018,169.35
  5. Step 5: Solve for x
    x = 110,856,018,169.35/397,069.20
  6. Step 6: Final answer
    x = 279,185.64

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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.