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Finding the Fourth Proportional to 298,598.94, 411,935.76 and 196,493.04

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Solution

The fourth proportional to 298,598.94, 411,935.76 and 196,493.04 is: 271,074.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,598.94 : 411,935.76 = 196,493.04 : x
  2. Step 2: Convert to fraction form
    298,598.94/411,935.76 = 196,493.04/x
  3. Step 3: Cross multiply
    298,598.94x = 411,935.76 × 196,493.04
  4. Step 4: Simplify right side
    298,598.94x = 80,942,509,767.11
  5. Step 5: Solve for x
    x = 80,942,509,767.11/298,598.94
  6. Step 6: Final answer
    x = 271,074.34

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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.