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Finding the Fourth Proportional to 304,275.29, 419,758.47 and 196,879.95

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Solution

The fourth proportional to 304,275.29, 419,758.47 and 196,879.95 is: 271,602.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,275.29 : 419,758.47 = 196,879.95 : x
  2. Step 2: Convert to fraction form
    304,275.29/419,758.47 = 196,879.95/x
  3. Step 3: Cross multiply
    304,275.29x = 419,758.47 × 196,879.95
  4. Step 4: Simplify right side
    304,275.29x = 82,642,026,585.68
  5. Step 5: Solve for x
    x = 82,642,026,585.68/304,275.29
  6. Step 6: Final answer
    x = 271,602.82

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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.