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Finding the Fourth Proportional to 341,729.76, 512,704.32 and 164,249.64

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Solution

The fourth proportional to 341,729.76, 512,704.32 and 164,249.64 is: 246,427.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,729.76 : 512,704.32 = 164,249.64 : x
  2. Step 2: Convert to fraction form
    341,729.76/512,704.32 = 164,249.64/x
  3. Step 3: Cross multiply
    341,729.76x = 512,704.32 × 164,249.64
  4. Step 4: Simplify right side
    341,729.76x = 84,211,499,986.44
  5. Step 5: Solve for x
    x = 84,211,499,986.44/341,729.76
  6. Step 6: Final answer
    x = 246,427.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.