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Finding the Fourth Proportional to 274,446.40, 411,928.80 and 169,470.40

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Solution

The fourth proportional to 274,446.40, 411,928.80 and 169,470.40 is: 254,365.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,446.40 : 411,928.80 = 169,470.40 : x
  2. Step 2: Convert to fraction form
    274,446.40/411,928.80 = 169,470.40/x
  3. Step 3: Cross multiply
    274,446.40x = 411,928.80 × 169,470.40
  4. Step 4: Simplify right side
    274,446.40x = 69,809,738,507.52
  5. Step 5: Solve for x
    x = 69,809,738,507.52/274,446.40
  6. Step 6: Final answer
    x = 254,365.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.