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Finding the Fourth Proportional to 358,046.58, 494,116.96 and 196,914.10

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Solution

The fourth proportional to 358,046.58, 494,116.96 and 196,914.10 is: 271,748.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,046.58 : 494,116.96 = 196,914.10 : x
  2. Step 2: Convert to fraction form
    358,046.58/494,116.96 = 196,914.10/x
  3. Step 3: Cross multiply
    358,046.58x = 494,116.96 × 196,914.10
  4. Step 4: Simplify right side
    358,046.58x = 97,298,596,473.14
  5. Step 5: Solve for x
    x = 97,298,596,473.14/358,046.58
  6. Step 6: Final answer
    x = 271,748.43

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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.