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Finding the Fourth Proportional to 357,976.26, 494,009.09 and 196,841.70

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Solution

The fourth proportional to 357,976.26, 494,009.09 and 196,841.70 is: 271,642.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,976.26 : 494,009.09 = 196,841.70 : x
  2. Step 2: Convert to fraction form
    357,976.26/494,009.09 = 196,841.70/x
  3. Step 3: Cross multiply
    357,976.26x = 494,009.09 × 196,841.70
  4. Step 4: Simplify right side
    357,976.26x = 97,241,588,106.84
  5. Step 5: Solve for x
    x = 97,241,588,106.84/357,976.26
  6. Step 6: Final answer
    x = 271,642.56

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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.