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Finding the Fourth Proportional to 493,704.40, 681,314.16 and 267,350.08

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Solution

The fourth proportional to 493,704.40, 681,314.16 and 267,350.08 is: 368,944.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,704.40 : 681,314.16 = 267,350.08 : x
  2. Step 2: Convert to fraction form
    493,704.40/681,314.16 = 267,350.08/x
  3. Step 3: Cross multiply
    493,704.40x = 681,314.16 × 267,350.08
  4. Step 4: Simplify right side
    493,704.40x = 182,149,395,181.13
  5. Step 5: Solve for x
    x = 182,149,395,181.13/493,704.40
  6. Step 6: Final answer
    x = 368,944.24

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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.