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Finding the Fourth Proportional to 396,014.40, 594,021.60 and 238,420.80

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Solution

The fourth proportional to 396,014.40, 594,021.60 and 238,420.80 is: 357,631.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,014.40 : 594,021.60 = 238,420.80 : x
  2. Step 2: Convert to fraction form
    396,014.40/594,021.60 = 238,420.80/x
  3. Step 3: Cross multiply
    396,014.40x = 594,021.60 × 238,420.80
  4. Step 4: Simplify right side
    396,014.40x = 141,627,105,089.28
  5. Step 5: Solve for x
    x = 141,627,105,089.28/396,014.40
  6. Step 6: Final answer
    x = 357,631.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.