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Finding the Fourth Proportional to 256,354.44, 384,531.70 and 167,682.54

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Solution

The fourth proportional to 256,354.44, 384,531.70 and 167,682.54 is: 251,523.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,354.44 : 384,531.70 = 167,682.54 : x
  2. Step 2: Convert to fraction form
    256,354.44/384,531.70 = 167,682.54/x
  3. Step 3: Cross multiply
    256,354.44x = 384,531.70 × 167,682.54
  4. Step 4: Simplify right side
    256,354.44x = 64,479,252,166.52
  5. Step 5: Solve for x
    x = 64,479,252,166.52/256,354.44
  6. Step 6: Final answer
    x = 251,523.84

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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.