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Finding the Fourth Proportional to 431,857.44, 595,964.07 and 240,883.20

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Solution

The fourth proportional to 431,857.44, 595,964.07 and 240,883.20 is: 332,419.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,857.44 : 595,964.07 = 240,883.20 : x
  2. Step 2: Convert to fraction form
    431,857.44/595,964.07 = 240,883.20/x
  3. Step 3: Cross multiply
    431,857.44x = 595,964.07 × 240,883.20
  4. Step 4: Simplify right side
    431,857.44x = 143,557,732,266.62
  5. Step 5: Solve for x
    x = 143,557,732,266.62/431,857.44
  6. Step 6: Final answer
    x = 332,419.26

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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.