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Finding the Fourth Proportional to 359,893.19, 496,639.05 and 196,544.27

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Solution

The fourth proportional to 359,893.19, 496,639.05 and 196,544.27 is: 271,223.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,893.19 : 496,639.05 = 196,544.27 : x
  2. Step 2: Convert to fraction form
    359,893.19/496,639.05 = 196,544.27/x
  3. Step 3: Cross multiply
    359,893.19x = 496,639.05 × 196,544.27
  4. Step 4: Simplify right side
    359,893.19x = 97,611,560,040.30
  5. Step 5: Solve for x
    x = 97,611,560,040.30/359,893.19
  6. Step 6: Final answer
    x = 271,223.69

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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.