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Finding the Fourth Proportional to 358,091.97, 494,167.10 and 196,957.95

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Solution

The fourth proportional to 358,091.97, 494,167.10 and 196,957.95 is: 271,802.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,091.97 : 494,167.10 = 196,957.95 : x
  2. Step 2: Convert to fraction form
    358,091.97/494,167.10 = 196,957.95/x
  3. Step 3: Cross multiply
    358,091.97x = 494,167.10 × 196,957.95
  4. Step 4: Simplify right side
    358,091.97x = 97,330,137,988.66
  5. Step 5: Solve for x
    x = 97,330,137,988.66/358,091.97
  6. Step 6: Final answer
    x = 271,802.07

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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.