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Finding the Fourth Proportional to 358,082.98, 494,158.63 and 196,940.72

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Solution

The fourth proportional to 358,082.98, 494,158.63 and 196,940.72 is: 271,780.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,082.98 : 494,158.63 = 196,940.72 : x
  2. Step 2: Convert to fraction form
    358,082.98/494,158.63 = 196,940.72/x
  3. Step 3: Cross multiply
    358,082.98x = 494,158.63 × 196,940.72
  4. Step 4: Simplify right side
    358,082.98x = 97,319,954,857.55
  5. Step 5: Solve for x
    x = 97,319,954,857.55/358,082.98
  6. Step 6: Final answer
    x = 271,780.46

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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.