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Finding the Fourth Proportional to 296,168.58, 408,287.51 and 211,138.02

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Solution

The fourth proportional to 296,168.58, 408,287.51 and 211,138.02 is: 291,067.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,168.58 : 408,287.51 = 211,138.02 : x
  2. Step 2: Convert to fraction form
    296,168.58/408,287.51 = 211,138.02/x
  3. Step 3: Cross multiply
    296,168.58x = 408,287.51 × 211,138.02
  4. Step 4: Simplify right side
    296,168.58x = 86,205,016,452.13
  5. Step 5: Solve for x
    x = 86,205,016,452.13/296,168.58
  6. Step 6: Final answer
    x = 291,067.39

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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.