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Finding the Fourth Proportional to 298,446.88, 447,825.84 and 132,196

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Solution

The fourth proportional to 298,446.88, 447,825.84 and 132,196 is: 198,362.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,446.88 : 447,825.84 = 132,196 : x
  2. Step 2: Convert to fraction form
    298,446.88/447,825.84 = 132,196/x
  3. Step 3: Cross multiply
    298,446.88x = 447,825.84 × 132,196
  4. Step 4: Simplify right side
    298,446.88x = 59,200,784,744.64
  5. Step 5: Solve for x
    x = 59,200,784,744.64/298,446.88
  6. Step 6: Final answer
    x = 198,362.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.