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Finding the Fourth Proportional to 424,231.86, 585,425.01 and 233,243.79

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Solution

The fourth proportional to 424,231.86, 585,425.01 and 233,243.79 is: 321,868.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,231.86 : 585,425.01 = 233,243.79 : x
  2. Step 2: Convert to fraction form
    424,231.86/585,425.01 = 233,243.79/x
  3. Step 3: Cross multiply
    424,231.86x = 585,425.01 × 233,243.79
  4. Step 4: Simplify right side
    424,231.86x = 136,546,745,166.06
  5. Step 5: Solve for x
    x = 136,546,745,166.06/424,231.86
  6. Step 6: Final answer
    x = 321,868.20

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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.