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Finding the Fourth Proportional to 396,347.16, 594,617.94 and 185,739.60

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Solution

The fourth proportional to 396,347.16, 594,617.94 and 185,739.60 is: 278,654.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,347.16 : 594,617.94 = 185,739.60 : x
  2. Step 2: Convert to fraction form
    396,347.16/594,617.94 = 185,739.60/x
  3. Step 3: Cross multiply
    396,347.16x = 594,617.94 × 185,739.60
  4. Step 4: Simplify right side
    396,347.16x = 110,444,098,328.42
  5. Step 5: Solve for x
    x = 110,444,098,328.42/396,347.16
  6. Step 6: Final answer
    x = 278,654.95

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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.