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Finding the Fourth Proportional to 616,182, 924,273 and 222,198

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Solution

The fourth proportional to 616,182, 924,273 and 222,198 is: 333,297

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,182 : 924,273 = 222,198 : x
  2. Step 2: Convert to fraction form
    616,182/924,273 = 222,198/x
  3. Step 3: Cross multiply
    616,182x = 924,273 × 222,198
  4. Step 4: Simplify right side
    616,182x = 205,371,612,054
  5. Step 5: Solve for x
    x = 205,371,612,054/616,182
  6. Step 6: Final answer
    x = 333,297

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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.