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Finding the Fourth Proportional to 494,307.72, 682,149.06 and 267,953.16

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Solution

The fourth proportional to 494,307.72, 682,149.06 and 267,953.16 is: 369,777.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,307.72 : 682,149.06 = 267,953.16 : x
  2. Step 2: Convert to fraction form
    494,307.72/682,149.06 = 267,953.16/x
  3. Step 3: Cross multiply
    494,307.72x = 682,149.06 × 267,953.16
  4. Step 4: Simplify right side
    494,307.72x = 182,783,996,218.03
  5. Step 5: Solve for x
    x = 182,783,996,218.03/494,307.72
  6. Step 6: Final answer
    x = 369,777.75

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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.