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Finding the Fourth Proportional to 384,002.20, 576,003.30 and 362,229.40

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Solution

The fourth proportional to 384,002.20, 576,003.30 and 362,229.40 is: 543,344.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,002.20 : 576,003.30 = 362,229.40 : x
  2. Step 2: Convert to fraction form
    384,002.20/576,003.30 = 362,229.40/x
  3. Step 3: Cross multiply
    384,002.20x = 576,003.30 × 362,229.40
  4. Step 4: Simplify right side
    384,002.20x = 208,645,329,757.02
  5. Step 5: Solve for x
    x = 208,645,329,757.02/384,002.20
  6. Step 6: Final answer
    x = 543,344.10

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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.