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Finding the Fourth Proportional to 598,234.68, 897,157.92 and 198,768.21

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Solution

The fourth proportional to 598,234.68, 897,157.92 and 198,768.21 is: 298,087.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,234.68 : 897,157.92 = 198,768.21 : x
  2. Step 2: Convert to fraction form
    598,234.68/897,157.92 = 198,768.21/x
  3. Step 3: Cross multiply
    598,234.68x = 897,157.92 × 198,768.21
  4. Step 4: Simplify right side
    598,234.68x = 178,326,473,845.72
  5. Step 5: Solve for x
    x = 178,326,473,845.72/598,234.68
  6. Step 6: Final answer
    x = 298,087.82

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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.