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Finding the Fourth Proportional to 398,832.16, 597,727.68 and 161,897.44

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Solution

The fourth proportional to 398,832.16, 597,727.68 and 161,897.44 is: 242,634.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,832.16 : 597,727.68 = 161,897.44 : x
  2. Step 2: Convert to fraction form
    398,832.16/597,727.68 = 161,897.44/x
  3. Step 3: Cross multiply
    398,832.16x = 597,727.68 × 161,897.44
  4. Step 4: Simplify right side
    398,832.16x = 96,770,581,209.14
  5. Step 5: Solve for x
    x = 96,770,581,209.14/398,832.16
  6. Step 6: Final answer
    x = 242,634.85

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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.