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Finding the Fourth Proportional to 301,879.71, 416,633.51 and 194,761.36

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Solution

The fourth proportional to 301,879.71, 416,633.51 and 194,761.36 is: 268,796.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,879.71 : 416,633.51 = 194,761.36 : x
  2. Step 2: Convert to fraction form
    301,879.71/416,633.51 = 194,761.36/x
  3. Step 3: Cross multiply
    301,879.71x = 416,633.51 × 194,761.36
  4. Step 4: Simplify right side
    301,879.71x = 81,144,109,029.17
  5. Step 5: Solve for x
    x = 81,144,109,029.17/301,879.71
  6. Step 6: Final answer
    x = 268,796.17

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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.