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Finding the Fourth Proportional to 259,770.40, 389,626.80 and 212,941.60

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Solution

The fourth proportional to 259,770.40, 389,626.80 and 212,941.60 is: 319,388.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,770.40 : 389,626.80 = 212,941.60 : x
  2. Step 2: Convert to fraction form
    259,770.40/389,626.80 = 212,941.60/x
  3. Step 3: Cross multiply
    259,770.40x = 389,626.80 × 212,941.60
  4. Step 4: Simplify right side
    259,770.40x = 82,967,754,194.88
  5. Step 5: Solve for x
    x = 82,967,754,194.88/259,770.40
  6. Step 6: Final answer
    x = 319,388.79

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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.