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Finding the Fourth Proportional to 396,321.30, 593,801.55 and 185,526.90

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Solution

The fourth proportional to 396,321.30, 593,801.55 and 185,526.90 is: 277,971.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,321.30 : 593,801.55 = 185,526.90 : x
  2. Step 2: Convert to fraction form
    396,321.30/593,801.55 = 185,526.90/x
  3. Step 3: Cross multiply
    396,321.30x = 593,801.55 × 185,526.90
  4. Step 4: Simplify right side
    396,321.30x = 110,166,160,786.70
  5. Step 5: Solve for x
    x = 110,166,160,786.70/396,321.30
  6. Step 6: Final answer
    x = 277,971.84

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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.