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Finding the Fourth Proportional to 349,540.88, 523,183.50 and 180,828.95

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Solution

The fourth proportional to 349,540.88, 523,183.50 and 180,828.95 is: 270,659.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,540.88 : 523,183.50 = 180,828.95 : x
  2. Step 2: Convert to fraction form
    349,540.88/523,183.50 = 180,828.95/x
  3. Step 3: Cross multiply
    349,540.88x = 523,183.50 × 180,828.95
  4. Step 4: Simplify right side
    349,540.88x = 94,606,720,346.41
  5. Step 5: Solve for x
    x = 94,606,720,346.41/349,540.88
  6. Step 6: Final answer
    x = 270,659.96

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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.