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Finding the Fourth Proportional to 384,022.20, 576,033.30 and 362,249.40

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Solution

The fourth proportional to 384,022.20, 576,033.30 and 362,249.40 is: 543,374.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,022.20 : 576,033.30 = 362,249.40 : x
  2. Step 2: Convert to fraction form
    384,022.20/576,033.30 = 362,249.40/x
  3. Step 3: Cross multiply
    384,022.20x = 576,033.30 × 362,249.40
  4. Step 4: Simplify right side
    384,022.20x = 208,667,717,305.02
  5. Step 5: Solve for x
    x = 208,667,717,305.02/384,022.20
  6. Step 6: Final answer
    x = 543,374.10

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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.