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Finding the Fourth Proportional to 446,073, 669,240.94 and 179,696.44

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Solution

The fourth proportional to 446,073, 669,240.94 and 179,696.44 is: 269,597.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,073 : 669,240.94 = 179,696.44 : x
  2. Step 2: Convert to fraction form
    446,073/669,240.94 = 179,696.44/x
  3. Step 3: Cross multiply
    446,073x = 669,240.94 × 179,696.44
  4. Step 4: Simplify right side
    446,073x = 120,260,214,420.25
  5. Step 5: Solve for x
    x = 120,260,214,420.25/446,073
  6. Step 6: Final answer
    x = 269,597.61

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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.