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Finding the Fourth Proportional to 510,796.56, 704,915.28 and 281,370.48

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Solution

The fourth proportional to 510,796.56, 704,915.28 and 281,370.48 is: 388,300.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,796.56 : 704,915.28 = 281,370.48 : x
  2. Step 2: Convert to fraction form
    510,796.56/704,915.28 = 281,370.48/x
  3. Step 3: Cross multiply
    510,796.56x = 704,915.28 × 281,370.48
  4. Step 4: Simplify right side
    510,796.56x = 198,342,350,692.93
  5. Step 5: Solve for x
    x = 198,342,350,692.93/510,796.56
  6. Step 6: Final answer
    x = 388,300.09

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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.