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Finding the Fourth Proportional to 180,408.48, 270,628.62 and 47,288.28

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Solution

The fourth proportional to 180,408.48, 270,628.62 and 47,288.28 is: 70,936.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,408.48 : 270,628.62 = 47,288.28 : x
  2. Step 2: Convert to fraction form
    180,408.48/270,628.62 = 47,288.28/x
  3. Step 3: Cross multiply
    180,408.48x = 270,628.62 × 47,288.28
  4. Step 4: Simplify right side
    180,408.48x = 12,797,561,958.57
  5. Step 5: Solve for x
    x = 12,797,561,958.57/180,408.48
  6. Step 6: Final answer
    x = 70,936.59

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1.5x scale

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.