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Finding the Fourth Proportional to 304,294.30, 419,784.66 and 196,898.98

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Solution

The fourth proportional to 304,294.30, 419,784.66 and 196,898.98 is: 271,629.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,294.30 : 419,784.66 = 196,898.98 : x
  2. Step 2: Convert to fraction form
    304,294.30/419,784.66 = 196,898.98/x
  3. Step 3: Cross multiply
    304,294.30x = 419,784.66 × 196,898.98
  4. Step 4: Simplify right side
    304,294.30x = 82,655,171,373.65
  5. Step 5: Solve for x
    x = 82,655,171,373.65/304,294.30
  6. Step 6: Final answer
    x = 271,629.05

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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.