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Finding the Fourth Proportional to 256,467.44, 353,601.24 and 165,669.68

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Solution

The fourth proportional to 256,467.44, 353,601.24 and 165,669.68 is: 228,414.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,467.44 : 353,601.24 = 165,669.68 : x
  2. Step 2: Convert to fraction form
    256,467.44/353,601.24 = 165,669.68/x
  3. Step 3: Cross multiply
    256,467.44x = 353,601.24 × 165,669.68
  4. Step 4: Simplify right side
    256,467.44x = 58,581,004,278.40
  5. Step 5: Solve for x
    x = 58,581,004,278.40/256,467.44
  6. Step 6: Final answer
    x = 228,414.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.