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Finding the Fourth Proportional to 263,747, 363,970.86 and 144,512.44

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Solution

The fourth proportional to 263,747, 363,970.86 and 144,512.44 is: 199,427.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,747 : 363,970.86 = 144,512.44 : x
  2. Step 2: Convert to fraction form
    263,747/363,970.86 = 144,512.44/x
  3. Step 3: Cross multiply
    263,747x = 363,970.86 × 144,512.44
  4. Step 4: Simplify right side
    263,747x = 52,598,317,067.50
  5. Step 5: Solve for x
    x = 52,598,317,067.50/263,747
  6. Step 6: Final answer
    x = 199,427.17

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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.