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Finding the Fourth Proportional to 297,634.28, 410,738.37 and 161,670.86

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Solution

The fourth proportional to 297,634.28, 410,738.37 and 161,670.86 is: 223,107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,634.28 : 410,738.37 = 161,670.86 : x
  2. Step 2: Convert to fraction form
    297,634.28/410,738.37 = 161,670.86/x
  3. Step 3: Cross multiply
    297,634.28x = 410,738.37 × 161,670.86
  4. Step 4: Simplify right side
    297,634.28x = 66,404,423,459.21
  5. Step 5: Solve for x
    x = 66,404,423,459.21/297,634.28
  6. Step 6: Final answer
    x = 223,107.45

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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.