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Finding the Fourth Proportional to 304,306.58, 419,801.58 and 196,911.32

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Solution

The fourth proportional to 304,306.58, 419,801.58 and 196,911.32 is: 271,646.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,306.58 : 419,801.58 = 196,911.32 : x
  2. Step 2: Convert to fraction form
    304,306.58/419,801.58 = 196,911.32/x
  3. Step 3: Cross multiply
    304,306.58x = 419,801.58 × 196,911.32
  4. Step 4: Simplify right side
    304,306.58x = 82,663,683,255.89
  5. Step 5: Solve for x
    x = 82,663,683,255.89/304,306.58
  6. Step 6: Final answer
    x = 271,646.06

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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.