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Finding the Fourth Proportional to 256,496.74, 384,764.44 and 76,567.96

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Solution

The fourth proportional to 256,496.74, 384,764.44 and 76,567.96 is: 114,857.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,496.74 : 384,764.44 = 76,567.96 : x
  2. Step 2: Convert to fraction form
    256,496.74/384,764.44 = 76,567.96/x
  3. Step 3: Cross multiply
    256,496.74x = 384,764.44 × 76,567.96
  4. Step 4: Simplify right side
    256,496.74x = 29,460,627,098.01
  5. Step 5: Solve for x
    x = 29,460,627,098.01/256,496.74
  6. Step 6: Final answer
    x = 114,857.71

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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.