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Finding the Fourth Proportional to 822,036, 1,233,054 and 231,060

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Solution

The fourth proportional to 822,036, 1,233,054 and 231,060 is: 346,590

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,036 : 1,233,054 = 231,060 : x
  2. Step 2: Convert to fraction form
    822,036/1,233,054 = 231,060/x
  3. Step 3: Cross multiply
    822,036x = 1,233,054 × 231,060
  4. Step 4: Simplify right side
    822,036x = 284,909,457,240
  5. Step 5: Solve for x
    x = 284,909,457,240/822,036
  6. Step 6: Final answer
    x = 346,590

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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.