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Finding the Fourth Proportional to 822,038, 1,233,057 and 231,062

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Solution

The fourth proportional to 822,038, 1,233,057 and 231,062 is: 346,593

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,038 : 1,233,057 = 231,062 : x
  2. Step 2: Convert to fraction form
    822,038/1,233,057 = 231,062/x
  3. Step 3: Cross multiply
    822,038x = 1,233,057 × 231,062
  4. Step 4: Simplify right side
    822,038x = 284,912,616,534
  5. Step 5: Solve for x
    x = 284,912,616,534/822,038
  6. Step 6: Final answer
    x = 346,593

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.