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Finding the Fourth Proportional to 870,968, 1,306,452 and 279,992

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Solution

The fourth proportional to 870,968, 1,306,452 and 279,992 is: 419,988

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,968 : 1,306,452 = 279,992 : x
  2. Step 2: Convert to fraction form
    870,968/1,306,452 = 279,992/x
  3. Step 3: Cross multiply
    870,968x = 1,306,452 × 279,992
  4. Step 4: Simplify right side
    870,968x = 365,796,108,384
  5. Step 5: Solve for x
    x = 365,796,108,384/870,968
  6. Step 6: Final answer
    x = 419,988

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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.