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Finding the Fourth Proportional to 263,746, 363,969.48 and 144,511.44

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Solution

The fourth proportional to 263,746, 363,969.48 and 144,511.44 is: 199,425.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,746 : 363,969.48 = 144,511.44 : x
  2. Step 2: Convert to fraction form
    263,746/363,969.48 = 144,511.44/x
  3. Step 3: Cross multiply
    263,746x = 363,969.48 × 144,511.44
  4. Step 4: Simplify right side
    263,746x = 52,597,753,670.85
  5. Step 5: Solve for x
    x = 52,597,753,670.85/263,746
  6. Step 6: Final answer
    x = 199,425.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.