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Finding the Fourth Proportional to 304,265.40, 419,746.56 and 196,870.44

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Solution

The fourth proportional to 304,265.40, 419,746.56 and 196,870.44 is: 271,590.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,265.40 : 419,746.56 = 196,870.44 : x
  2. Step 2: Convert to fraction form
    304,265.40/419,746.56 = 196,870.44/x
  3. Step 3: Cross multiply
    304,265.40x = 419,746.56 × 196,870.44
  4. Step 4: Simplify right side
    304,265.40x = 82,635,689,955.69
  5. Step 5: Solve for x
    x = 82,635,689,955.69/304,265.40
  6. Step 6: Final answer
    x = 271,590.82

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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.