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Finding the Fourth Proportional to 304,083.24, 419,635.80 and 169,947.24

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Solution

The fourth proportional to 304,083.24, 419,635.80 and 169,947.24 is: 234,527.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,083.24 : 419,635.80 = 169,947.24 : x
  2. Step 2: Convert to fraction form
    304,083.24/419,635.80 = 169,947.24/x
  3. Step 3: Cross multiply
    304,083.24x = 419,635.80 × 169,947.24
  4. Step 4: Simplify right side
    304,083.24x = 71,315,946,015.19
  5. Step 5: Solve for x
    x = 71,315,946,015.19/304,083.24
  6. Step 6: Final answer
    x = 234,527.71

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1.5x scale

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.