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Finding the Fourth Proportional to 384,014.40, 576,021.60 and 284,481.60

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Solution

The fourth proportional to 384,014.40, 576,021.60 and 284,481.60 is: 426,722.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,014.40 : 576,021.60 = 284,481.60 : x
  2. Step 2: Convert to fraction form
    384,014.40/576,021.60 = 284,481.60/x
  3. Step 3: Cross multiply
    384,014.40x = 576,021.60 × 284,481.60
  4. Step 4: Simplify right side
    384,014.40x = 163,867,546,402.56
  5. Step 5: Solve for x
    x = 163,867,546,402.56/384,014.40
  6. Step 6: Final answer
    x = 426,722.40

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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.