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Finding the Fourth Proportional to 677,103, 1,015,716.06 and 178,467

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Solution

The fourth proportional to 677,103, 1,015,716.06 and 178,467 is: 267,716.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,103 : 1,015,716.06 = 178,467 : x
  2. Step 2: Convert to fraction form
    677,103/1,015,716.06 = 178,467/x
  3. Step 3: Cross multiply
    677,103x = 1,015,716.06 × 178,467
  4. Step 4: Simplify right side
    677,103x = 181,271,798,080.02
  5. Step 5: Solve for x
    x = 181,271,798,080.02/677,103
  6. Step 6: Final answer
    x = 267,716.73

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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.