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Finding the Fourth Proportional to 256,349.46, 384,524.22 and 167,677.56

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Solution

The fourth proportional to 256,349.46, 384,524.22 and 167,677.56 is: 251,516.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,349.46 : 384,524.22 = 167,677.56 : x
  2. Step 2: Convert to fraction form
    256,349.46/384,524.22 = 167,677.56/x
  3. Step 3: Cross multiply
    256,349.46x = 384,524.22 × 167,677.56
  4. Step 4: Simplify right side
    256,349.46x = 64,476,082,970.50
  5. Step 5: Solve for x
    x = 64,476,082,970.50/256,349.46
  6. Step 6: Final answer
    x = 251,516.36

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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.