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Finding the Fourth Proportional to 358,046.33, 494,116.62 and 196,913.84

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Solution

The fourth proportional to 358,046.33, 494,116.62 and 196,913.84 is: 271,748.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,046.33 : 494,116.62 = 196,913.84 : x
  2. Step 2: Convert to fraction form
    358,046.33/494,116.62 = 196,913.84/x
  3. Step 3: Cross multiply
    358,046.33x = 494,116.62 × 196,913.84
  4. Step 4: Simplify right side
    358,046.33x = 97,298,401,052.02
  5. Step 5: Solve for x
    x = 97,298,401,052.02/358,046.33
  6. Step 6: Final answer
    x = 271,748.08

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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.