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Finding the Fourth Proportional to 400,704.22, 601,168.70 and 160,986.45

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Solution

The fourth proportional to 400,704.22, 601,168.70 and 160,986.45 is: 241,524.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,704.22 : 601,168.70 = 160,986.45 : x
  2. Step 2: Convert to fraction form
    400,704.22/601,168.70 = 160,986.45/x
  3. Step 3: Cross multiply
    400,704.22x = 601,168.70 × 160,986.45
  4. Step 4: Simplify right side
    400,704.22x = 96,780,016,615.42
  5. Step 5: Solve for x
    x = 96,780,016,615.42/400,704.22
  6. Step 6: Final answer
    x = 241,524.83

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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.