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Finding the Fourth Proportional to 357,976.14, 494,008.91 and 196,841.58

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Solution

The fourth proportional to 357,976.14, 494,008.91 and 196,841.58 is: 271,642.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,976.14 : 494,008.91 = 196,841.58 : x
  2. Step 2: Convert to fraction form
    357,976.14/494,008.91 = 196,841.58/x
  3. Step 3: Cross multiply
    357,976.14x = 494,008.91 × 196,841.58
  4. Step 4: Simplify right side
    357,976.14x = 97,241,494,378.48
  5. Step 5: Solve for x
    x = 97,241,494,378.48/357,976.14
  6. Step 6: Final answer
    x = 271,642.39

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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.