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Finding the Fourth Proportional to 300,947.36, 415,020.84 and 180,069.44

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Solution

The fourth proportional to 300,947.36, 415,020.84 and 180,069.44 is: 248,324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,947.36 : 415,020.84 = 180,069.44 : x
  2. Step 2: Convert to fraction form
    300,947.36/415,020.84 = 180,069.44/x
  3. Step 3: Cross multiply
    300,947.36x = 415,020.84 × 180,069.44
  4. Step 4: Simplify right side
    300,947.36x = 74,732,570,247.13
  5. Step 5: Solve for x
    x = 74,732,570,247.13/300,947.36
  6. Step 6: Final answer
    x = 248,324.39

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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.