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Finding the Fourth Proportional to 493,584.48, 681,147.84 and 267,230.40

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Solution

The fourth proportional to 493,584.48, 681,147.84 and 267,230.40 is: 368,778.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,584.48 : 681,147.84 = 267,230.40 : x
  2. Step 2: Convert to fraction form
    493,584.48/681,147.84 = 267,230.40/x
  3. Step 3: Cross multiply
    493,584.48x = 681,147.84 × 267,230.40
  4. Step 4: Simplify right side
    493,584.48x = 182,023,409,742.34
  5. Step 5: Solve for x
    x = 182,023,409,742.34/493,584.48
  6. Step 6: Final answer
    x = 368,778.63

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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.