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Finding the Fourth Proportional to 297,840.56, 411,023.12 and 161,874.52

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Solution

The fourth proportional to 297,840.56, 411,023.12 and 161,874.52 is: 223,388.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,840.56 : 411,023.12 = 161,874.52 : x
  2. Step 2: Convert to fraction form
    297,840.56/411,023.12 = 161,874.52/x
  3. Step 3: Cross multiply
    297,840.56x = 411,023.12 × 161,874.52
  4. Step 4: Simplify right side
    297,840.56x = 66,534,170,258.90
  5. Step 5: Solve for x
    x = 66,534,170,258.90/297,840.56
  6. Step 6: Final answer
    x = 223,388.55

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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.