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Finding the Fourth Proportional to 510,659.78, 704,704.74 and 281,212.43

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Solution

The fourth proportional to 510,659.78, 704,704.74 and 281,212.43 is: 388,069.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,659.78 : 704,704.74 = 281,212.43 : x
  2. Step 2: Convert to fraction form
    510,659.78/704,704.74 = 281,212.43/x
  3. Step 3: Cross multiply
    510,659.78x = 704,704.74 × 281,212.43
  4. Step 4: Simplify right side
    510,659.78x = 198,171,732,367.92
  5. Step 5: Solve for x
    x = 198,171,732,367.92/510,659.78
  6. Step 6: Final answer
    x = 388,069.98

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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.