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Finding the Fourth Proportional to 424,204.52, 585,406.17 and 233,219.25

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Solution

The fourth proportional to 424,204.52, 585,406.17 and 233,219.25 is: 321,844.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,204.52 : 585,406.17 = 233,219.25 : x
  2. Step 2: Convert to fraction form
    424,204.52/585,406.17 = 233,219.25/x
  3. Step 3: Cross multiply
    424,204.52x = 585,406.17 × 233,219.25
  4. Step 4: Simplify right side
    424,204.52x = 136,527,987,912.77
  5. Step 5: Solve for x
    x = 136,527,987,912.77/424,204.52
  6. Step 6: Final answer
    x = 321,844.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.