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Finding the Fourth Proportional to 297,527.10, 410,585.88 and 161,559.86

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Solution

The fourth proportional to 297,527.10, 410,585.88 and 161,559.86 is: 222,951.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,527.10 : 410,585.88 = 161,559.86 : x
  2. Step 2: Convert to fraction form
    297,527.10/410,585.88 = 161,559.86/x
  3. Step 3: Cross multiply
    297,527.10x = 410,585.88 × 161,559.86
  4. Step 4: Simplify right side
    297,527.10x = 66,334,195,237.85
  5. Step 5: Solve for x
    x = 66,334,195,237.85/297,527.10
  6. Step 6: Final answer
    x = 222,951.78

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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.