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Finding the Fourth Proportional to 384,205.32, 576,393.66 and 117,992.70

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Solution

The fourth proportional to 384,205.32, 576,393.66 and 117,992.70 is: 177,015.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,205.32 : 576,393.66 = 117,992.70 : x
  2. Step 2: Convert to fraction form
    384,205.32/576,393.66 = 117,992.70/x
  3. Step 3: Cross multiply
    384,205.32x = 576,393.66 × 117,992.70
  4. Step 4: Simplify right side
    384,205.32x = 68,010,244,206.28
  5. Step 5: Solve for x
    x = 68,010,244,206.28/384,205.32
  6. Step 6: Final answer
    x = 177,015.36

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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.