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Finding the Fourth Proportional to 396,102.40, 593,347.20 and 245,881.60

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Solution

The fourth proportional to 396,102.40, 593,347.20 and 245,881.60 is: 368,321.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,102.40 : 593,347.20 = 245,881.60 : x
  2. Step 2: Convert to fraction form
    396,102.40/593,347.20 = 245,881.60/x
  3. Step 3: Cross multiply
    396,102.40x = 593,347.20 × 245,881.60
  4. Step 4: Simplify right side
    396,102.40x = 145,893,158,891.52
  5. Step 5: Solve for x
    x = 145,893,158,891.52/396,102.40
  6. Step 6: Final answer
    x = 368,321.83

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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.