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Finding the Fourth Proportional to 297,364.42, 410,358.67 and 161,394.88

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Solution

The fourth proportional to 297,364.42, 410,358.67 and 161,394.88 is: 222,722.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,364.42 : 410,358.67 = 161,394.88 : x
  2. Step 2: Convert to fraction form
    297,364.42/410,358.67 = 161,394.88/x
  3. Step 3: Cross multiply
    297,364.42x = 410,358.67 × 161,394.88
  4. Step 4: Simplify right side
    297,364.42x = 66,229,788,301.61
  5. Step 5: Solve for x
    x = 66,229,788,301.61/297,364.42
  6. Step 6: Final answer
    x = 222,722.64

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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.