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Finding the Fourth Proportional to 358,082.52, 494,153.69 and 196,948.41

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Solution

The fourth proportional to 358,082.52, 494,153.69 and 196,948.41 is: 271,788.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,082.52 : 494,153.69 = 196,948.41 : x
  2. Step 2: Convert to fraction form
    358,082.52/494,153.69 = 196,948.41/x
  3. Step 3: Cross multiply
    358,082.52x = 494,153.69 × 196,948.41
  4. Step 4: Simplify right side
    358,082.52x = 97,322,783,541.13
  5. Step 5: Solve for x
    x = 97,322,783,541.13/358,082.52
  6. Step 6: Final answer
    x = 271,788.70

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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.