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Finding the Fourth Proportional to 298,162.62, 411,634.10 and 196,483.52

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Solution

The fourth proportional to 298,162.62, 411,634.10 and 196,483.52 is: 271,259.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,162.62 : 411,634.10 = 196,483.52 : x
  2. Step 2: Convert to fraction form
    298,162.62/411,634.10 = 196,483.52/x
  3. Step 3: Cross multiply
    298,162.62x = 411,634.10 × 196,483.52
  4. Step 4: Simplify right side
    298,162.62x = 80,879,318,440.33
  5. Step 5: Solve for x
    x = 80,879,318,440.33/298,162.62
  6. Step 6: Final answer
    x = 271,259.08

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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.