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Finding the Fourth Proportional to 273,052.98, 409,657.23 and 198,247.86

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Solution

The fourth proportional to 273,052.98, 409,657.23 and 198,247.86 is: 297,428.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,052.98 : 409,657.23 = 198,247.86 : x
  2. Step 2: Convert to fraction form
    273,052.98/409,657.23 = 198,247.86/x
  3. Step 3: Cross multiply
    273,052.98x = 409,657.23 × 198,247.86
  4. Step 4: Simplify right side
    273,052.98x = 81,213,669,181.03
  5. Step 5: Solve for x
    x = 81,213,669,181.03/273,052.98
  6. Step 6: Final answer
    x = 297,428.25

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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.