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Finding the Fourth Proportional to 398,016.63, 597,023.58 and 161,358.75

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Solution

The fourth proportional to 398,016.63, 597,023.58 and 161,358.75 is: 242,037.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,016.63 : 597,023.58 = 161,358.75 : x
  2. Step 2: Convert to fraction form
    398,016.63/597,023.58 = 161,358.75/x
  3. Step 3: Cross multiply
    398,016.63x = 597,023.58 × 161,358.75
  4. Step 4: Simplify right side
    398,016.63x = 96,334,978,589.33
  5. Step 5: Solve for x
    x = 96,334,978,589.33/398,016.63
  6. Step 6: Final answer
    x = 242,037.57

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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.