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Finding the Fourth Proportional to 398,591.10, 597,923.10 and 161,884.80

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Solution

The fourth proportional to 398,591.10, 597,923.10 and 161,884.80 is: 242,842.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,591.10 : 597,923.10 = 161,884.80 : x
  2. Step 2: Convert to fraction form
    398,591.10/597,923.10 = 161,884.80/x
  3. Step 3: Cross multiply
    398,591.10x = 597,923.10 × 161,884.80
  4. Step 4: Simplify right side
    398,591.10x = 96,794,661,458.88
  5. Step 5: Solve for x
    x = 96,794,661,458.88/398,591.10
  6. Step 6: Final answer
    x = 242,842.00

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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.