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Finding the Fourth Proportional to 424,052.73, 585,203.91 and 233,071.20

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Solution

The fourth proportional to 424,052.73, 585,203.91 and 233,071.20 is: 321,644.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,052.73 : 585,203.91 = 233,071.20 : x
  2. Step 2: Convert to fraction form
    424,052.73/585,203.91 = 233,071.20/x
  3. Step 3: Cross multiply
    424,052.73x = 585,203.91 × 233,071.20
  4. Step 4: Simplify right side
    424,052.73x = 136,394,177,548.39
  5. Step 5: Solve for x
    x = 136,394,177,548.39/424,052.73
  6. Step 6: Final answer
    x = 321,644.38

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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.