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Finding the Fourth Proportional to 396,055.76, 594,118.59 and 111,748.80

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Solution

The fourth proportional to 396,055.76, 594,118.59 and 111,748.80 is: 167,633.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,055.76 : 594,118.59 = 111,748.80 : x
  2. Step 2: Convert to fraction form
    396,055.76/594,118.59 = 111,748.80/x
  3. Step 3: Cross multiply
    396,055.76x = 594,118.59 × 111,748.80
  4. Step 4: Simplify right side
    396,055.76x = 66,392,039,490.19
  5. Step 5: Solve for x
    x = 66,392,039,490.19/396,055.76
  6. Step 6: Final answer
    x = 167,633.06

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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.