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Finding the Fourth Proportional to 341,282.26, 511,524.75 and 256,770.88

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Solution

The fourth proportional to 341,282.26, 511,524.75 and 256,770.88 is: 384,856.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,282.26 : 511,524.75 = 256,770.88 : x
  2. Step 2: Convert to fraction form
    341,282.26/511,524.75 = 256,770.88/x
  3. Step 3: Cross multiply
    341,282.26x = 511,524.75 × 256,770.88
  4. Step 4: Simplify right side
    341,282.26x = 131,344,659,883.36
  5. Step 5: Solve for x
    x = 131,344,659,883.36/341,282.26
  6. Step 6: Final answer
    x = 384,856.39

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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.