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Finding the Fourth Proportional to 408,704.27, 613,049.31 and 183,905.64

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Solution

The fourth proportional to 408,704.27, 613,049.31 and 183,905.64 is: 275,855.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,704.27 : 613,049.31 = 183,905.64 : x
  2. Step 2: Convert to fraction form
    408,704.27/613,049.31 = 183,905.64/x
  3. Step 3: Cross multiply
    408,704.27x = 613,049.31 × 183,905.64
  4. Step 4: Simplify right side
    408,704.27x = 112,743,225,707.11
  5. Step 5: Solve for x
    x = 112,743,225,707.11/408,704.27
  6. Step 6: Final answer
    x = 275,855.27

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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.