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Finding the Fourth Proportional to 297,998.16, 411,242.60 and 162,033.03

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Solution

The fourth proportional to 297,998.16, 411,242.60 and 162,033.03 is: 223,608.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,998.16 : 411,242.60 = 162,033.03 : x
  2. Step 2: Convert to fraction form
    297,998.16/411,242.60 = 162,033.03/x
  3. Step 3: Cross multiply
    297,998.16x = 411,242.60 × 162,033.03
  4. Step 4: Simplify right side
    297,998.16x = 66,634,885,976.27
  5. Step 5: Solve for x
    x = 66,634,885,976.27/297,998.16
  6. Step 6: Final answer
    x = 223,608.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.