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Finding the Fourth Proportional to 598,234.71, 897,157.92 and 198,768.24

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Solution

The fourth proportional to 598,234.71, 897,157.92 and 198,768.24 is: 298,087.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,234.71 : 897,157.92 = 198,768.24 : x
  2. Step 2: Convert to fraction form
    598,234.71/897,157.92 = 198,768.24/x
  3. Step 3: Cross multiply
    598,234.71x = 897,157.92 × 198,768.24
  4. Step 4: Simplify right side
    598,234.71x = 178,326,500,760.46
  5. Step 5: Solve for x
    x = 178,326,500,760.46/598,234.71
  6. Step 6: Final answer
    x = 298,087.85

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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.