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Finding the Fourth Proportional to 929,864, 1,394,796 and 229,448

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Solution

The fourth proportional to 929,864, 1,394,796 and 229,448 is: 344,172

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,864 : 1,394,796 = 229,448 : x
  2. Step 2: Convert to fraction form
    929,864/1,394,796 = 229,448/x
  3. Step 3: Cross multiply
    929,864x = 1,394,796 × 229,448
  4. Step 4: Simplify right side
    929,864x = 320,033,152,608
  5. Step 5: Solve for x
    x = 320,033,152,608/929,864
  6. Step 6: Final answer
    x = 344,172

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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.