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Finding the Fourth Proportional to 446,082.96, 669,255.48 and 179,706.48

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Solution

The fourth proportional to 446,082.96, 669,255.48 and 179,706.48 is: 269,612.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,082.96 : 669,255.48 = 179,706.48 : x
  2. Step 2: Convert to fraction form
    446,082.96/669,255.48 = 179,706.48/x
  3. Step 3: Cross multiply
    446,082.96x = 669,255.48 × 179,706.48
  4. Step 4: Simplify right side
    446,082.96x = 120,269,546,531.51
  5. Step 5: Solve for x
    x = 120,269,546,531.51/446,082.96
  6. Step 6: Final answer
    x = 269,612.51

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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.