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Finding the Fourth Proportional to 358,055.62, 494,106.89 and 196,910.66

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Solution

The fourth proportional to 358,055.62, 494,106.89 and 196,910.66 is: 271,731.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,055.62 : 494,106.89 = 196,910.66 : x
  2. Step 2: Convert to fraction form
    358,055.62/494,106.89 = 196,910.66/x
  3. Step 3: Cross multiply
    358,055.62x = 494,106.89 × 196,910.66
  4. Step 4: Simplify right side
    358,055.62x = 97,294,914,071.16
  5. Step 5: Solve for x
    x = 97,294,914,071.16/358,055.62
  6. Step 6: Final answer
    x = 271,731.29

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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.