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Finding the Fourth Proportional to 256,367.86, 353,487.55 and 174,744.43

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Solution

The fourth proportional to 256,367.86, 353,487.55 and 174,744.43 is: 240,942.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,367.86 : 353,487.55 = 174,744.43 : x
  2. Step 2: Convert to fraction form
    256,367.86/353,487.55 = 174,744.43/x
  3. Step 3: Cross multiply
    256,367.86x = 353,487.55 × 174,744.43
  4. Step 4: Simplify right side
    256,367.86x = 61,769,982,695.97
  5. Step 5: Solve for x
    x = 61,769,982,695.97/256,367.86
  6. Step 6: Final answer
    x = 240,942.78

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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.