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Finding the Fourth Proportional to 493,978.22, 681,690.66 and 267,623.72

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Solution

The fourth proportional to 493,978.22, 681,690.66 and 267,623.72 is: 369,321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,978.22 : 681,690.66 = 267,623.72 : x
  2. Step 2: Convert to fraction form
    493,978.22/681,690.66 = 267,623.72/x
  3. Step 3: Cross multiply
    493,978.22x = 681,690.66 × 267,623.72
  4. Step 4: Simplify right side
    493,978.22x = 182,436,590,318.46
  5. Step 5: Solve for x
    x = 182,436,590,318.46/493,978.22
  6. Step 6: Final answer
    x = 369,321.12

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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.