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Finding the Fourth Proportional to 341,225.44, 470,818.12 and 196,049.02

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Solution

The fourth proportional to 341,225.44, 470,818.12 and 196,049.02 is: 270,505.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,225.44 : 470,818.12 = 196,049.02 : x
  2. Step 2: Convert to fraction form
    341,225.44/470,818.12 = 196,049.02/x
  3. Step 3: Cross multiply
    341,225.44x = 470,818.12 × 196,049.02
  4. Step 4: Simplify right side
    341,225.44x = 92,303,431,024.24
  5. Step 5: Solve for x
    x = 92,303,431,024.24/341,225.44
  6. Step 6: Final answer
    x = 270,505.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.