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Finding the Fourth Proportional to 822,000, 1,233,000 and 231,024

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Solution

The fourth proportional to 822,000, 1,233,000 and 231,024 is: 346,536

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,000 : 1,233,000 = 231,024 : x
  2. Step 2: Convert to fraction form
    822,000/1,233,000 = 231,024/x
  3. Step 3: Cross multiply
    822,000x = 1,233,000 × 231,024
  4. Step 4: Simplify right side
    822,000x = 284,852,592,000
  5. Step 5: Solve for x
    x = 284,852,592,000/822,000
  6. Step 6: Final answer
    x = 346,536

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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.