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Finding the Fourth Proportional to 277,019.40, 382,431.32 and 196,638.96

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Solution

The fourth proportional to 277,019.40, 382,431.32 and 196,638.96 is: 271,464.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,019.40 : 382,431.32 = 196,638.96 : x
  2. Step 2: Convert to fraction form
    277,019.40/382,431.32 = 196,638.96/x
  3. Step 3: Cross multiply
    277,019.40x = 382,431.32 × 196,638.96
  4. Step 4: Simplify right side
    277,019.40x = 75,200,897,036.23
  5. Step 5: Solve for x
    x = 75,200,897,036.23/277,019.40
  6. Step 6: Final answer
    x = 271,464.37

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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.