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Finding the Fourth Proportional to 494,267.56, 682,088.58 and 267,913

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Solution

The fourth proportional to 494,267.56, 682,088.58 and 267,913 is: 369,719.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,267.56 : 682,088.58 = 267,913 : x
  2. Step 2: Convert to fraction form
    494,267.56/682,088.58 = 267,913/x
  3. Step 3: Cross multiply
    494,267.56x = 682,088.58 × 267,913
  4. Step 4: Simplify right side
    494,267.56x = 182,740,397,733.54
  5. Step 5: Solve for x
    x = 182,740,397,733.54/494,267.56
  6. Step 6: Final answer
    x = 369,719.59

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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.