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Finding the Fourth Proportional to 507,824.44, 700,797.83 and 281,469.94

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Solution

The fourth proportional to 507,824.44, 700,797.83 and 281,469.94 is: 388,428.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,824.44 : 700,797.83 = 281,469.94 : x
  2. Step 2: Convert to fraction form
    507,824.44/700,797.83 = 281,469.94/x
  3. Step 3: Cross multiply
    507,824.44x = 700,797.83 × 281,469.94
  4. Step 4: Simplify right side
    507,824.44x = 197,253,520,002.89
  5. Step 5: Solve for x
    x = 197,253,520,002.89/507,824.44
  6. Step 6: Final answer
    x = 388,428.57

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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.