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Finding the Fourth Proportional to 304,263.40, 419,743.80 and 196,868.44

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Solution

The fourth proportional to 304,263.40, 419,743.80 and 196,868.44 is: 271,588.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,263.40 : 419,743.80 = 196,868.44 : x
  2. Step 2: Convert to fraction form
    304,263.40/419,743.80 = 196,868.44/x
  3. Step 3: Cross multiply
    304,263.40x = 419,743.80 × 196,868.44
  4. Step 4: Simplify right side
    304,263.40x = 82,634,307,105.67
  5. Step 5: Solve for x
    x = 82,634,307,105.67/304,263.40
  6. Step 6: Final answer
    x = 271,588.06

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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.