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Finding the Fourth Proportional to 616,132, 924,198 and 222,148

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Solution

The fourth proportional to 616,132, 924,198 and 222,148 is: 333,222

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,132 : 924,198 = 222,148 : x
  2. Step 2: Convert to fraction form
    616,132/924,198 = 222,148/x
  3. Step 3: Cross multiply
    616,132x = 924,198 × 222,148
  4. Step 4: Simplify right side
    616,132x = 205,308,737,304
  5. Step 5: Solve for x
    x = 205,308,737,304/616,132
  6. Step 6: Final answer
    x = 333,222

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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.