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Finding the Fourth Proportional to 277,803.37, 383,397.05 and 200,343.02

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Solution

The fourth proportional to 277,803.37, 383,397.05 and 200,343.02 is: 276,493.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,803.37 : 383,397.05 = 200,343.02 : x
  2. Step 2: Convert to fraction form
    277,803.37/383,397.05 = 200,343.02/x
  3. Step 3: Cross multiply
    277,803.37x = 383,397.05 × 200,343.02
  4. Step 4: Simplify right side
    277,803.37x = 76,810,922,469.64
  5. Step 5: Solve for x
    x = 76,810,922,469.64/277,803.37
  6. Step 6: Final answer
    x = 276,493.85

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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.