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Finding the Fourth Proportional to 396,383.42, 594,500.70 and 183,142.46

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Solution

The fourth proportional to 396,383.42, 594,500.70 and 183,142.46 is: 274,679.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,383.42 : 594,500.70 = 183,142.46 : x
  2. Step 2: Convert to fraction form
    396,383.42/594,500.70 = 183,142.46/x
  3. Step 3: Cross multiply
    396,383.42x = 594,500.70 × 183,142.46
  4. Step 4: Simplify right side
    396,383.42x = 108,878,320,669.72
  5. Step 5: Solve for x
    x = 108,878,320,669.72/396,383.42
  6. Step 6: Final answer
    x = 274,679.30

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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.