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Finding the Fourth Proportional to 616,180, 924,270 and 222,196

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Solution

The fourth proportional to 616,180, 924,270 and 222,196 is: 333,294

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,180 : 924,270 = 222,196 : x
  2. Step 2: Convert to fraction form
    616,180/924,270 = 222,196/x
  3. Step 3: Cross multiply
    616,180x = 924,270 × 222,196
  4. Step 4: Simplify right side
    616,180x = 205,369,096,920
  5. Step 5: Solve for x
    x = 205,369,096,920/616,180
  6. Step 6: Final answer
    x = 333,294

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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.