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Finding the Fourth Proportional to 384,382.50, 576,380.19 and 128,124.36

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Solution

The fourth proportional to 384,382.50, 576,380.19 and 128,124.36 is: 192,122.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,382.50 : 576,380.19 = 128,124.36 : x
  2. Step 2: Convert to fraction form
    384,382.50/576,380.19 = 128,124.36/x
  3. Step 3: Cross multiply
    384,382.50x = 576,380.19 × 128,124.36
  4. Step 4: Simplify right side
    384,382.50x = 73,848,342,960.43
  5. Step 5: Solve for x
    x = 73,848,342,960.43/384,382.50
  6. Step 6: Final answer
    x = 192,122.02

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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.