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Finding the Fourth Proportional to 398,364.09, 597,544.50 and 161,704.77

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Solution

The fourth proportional to 398,364.09, 597,544.50 and 161,704.77 is: 242,556.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,364.09 : 597,544.50 = 161,704.77 : x
  2. Step 2: Convert to fraction form
    398,364.09/597,544.50 = 161,704.77/x
  3. Step 3: Cross multiply
    398,364.09x = 597,544.50 × 161,704.77
  4. Step 4: Simplify right side
    398,364.09x = 96,625,795,937.27
  5. Step 5: Solve for x
    x = 96,625,795,937.27/398,364.09
  6. Step 6: Final answer
    x = 242,556.49

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