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Finding the Fourth Proportional to 361,894.41, 499,416.54 and 200,759.67

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Solution

The fourth proportional to 361,894.41, 499,416.54 and 200,759.67 is: 277,049.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,894.41 : 499,416.54 = 200,759.67 : x
  2. Step 2: Convert to fraction form
    361,894.41/499,416.54 = 200,759.67/x
  3. Step 3: Cross multiply
    361,894.41x = 499,416.54 × 200,759.67
  4. Step 4: Simplify right side
    361,894.41x = 100,262,699,762.94
  5. Step 5: Solve for x
    x = 100,262,699,762.94/361,894.41
  6. Step 6: Final answer
    x = 277,049.60

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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.