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Finding the Fourth Proportional to 298,497.88, 447,902.34 and 132,247

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Solution

The fourth proportional to 298,497.88, 447,902.34 and 132,247 is: 198,439.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,497.88 : 447,902.34 = 132,247 : x
  2. Step 2: Convert to fraction form
    298,497.88/447,902.34 = 132,247/x
  3. Step 3: Cross multiply
    298,497.88x = 447,902.34 × 132,247
  4. Step 4: Simplify right side
    298,497.88x = 59,233,740,757.98
  5. Step 5: Solve for x
    x = 59,233,740,757.98/298,497.88
  6. Step 6: Final answer
    x = 198,439.40

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