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Finding the Fourth Proportional to 358,053.42, 494,103.81 and 196,908.42

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Solution

The fourth proportional to 358,053.42, 494,103.81 and 196,908.42 is: 271,728.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,053.42 : 494,103.81 = 196,908.42 : x
  2. Step 2: Convert to fraction form
    358,053.42/494,103.81 = 196,908.42/x
  3. Step 3: Cross multiply
    358,053.42x = 494,103.81 × 196,908.42
  4. Step 4: Simplify right side
    358,053.42x = 97,293,200,543.08
  5. Step 5: Solve for x
    x = 97,293,200,543.08/358,053.42
  6. Step 6: Final answer
    x = 271,728.17

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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.