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Finding the Fourth Proportional to 358,046.89, 494,094.86 and 196,901.94

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Solution

The fourth proportional to 358,046.89, 494,094.86 and 196,901.94 is: 271,719.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,046.89 : 494,094.86 = 196,901.94 : x
  2. Step 2: Convert to fraction form
    358,046.89/494,094.86 = 196,901.94/x
  3. Step 3: Cross multiply
    358,046.89x = 494,094.86 × 196,901.94
  4. Step 4: Simplify right side
    358,046.89x = 97,288,236,478.03
  5. Step 5: Solve for x
    x = 97,288,236,478.03/358,046.89
  6. Step 6: Final answer
    x = 271,719.26

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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.