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Finding the Fourth Proportional to 297,847.88, 411,033.23 and 161,881.84

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Solution

The fourth proportional to 297,847.88, 411,033.23 and 161,881.84 is: 223,398.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,847.88 : 411,033.23 = 161,881.84 : x
  2. Step 2: Convert to fraction form
    297,847.88/411,033.23 = 161,881.84/x
  3. Step 3: Cross multiply
    297,847.88x = 411,033.23 × 161,881.84
  4. Step 4: Simplify right side
    297,847.88x = 66,538,816,795.57
  5. Step 5: Solve for x
    x = 66,538,816,795.57/297,847.88
  6. Step 6: Final answer
    x = 223,398.66

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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.