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Finding the Fourth Proportional to 929,862, 1,394,793 and 229,446

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Solution

The fourth proportional to 929,862, 1,394,793 and 229,446 is: 344,169

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,862 : 1,394,793 = 229,446 : x
  2. Step 2: Convert to fraction form
    929,862/1,394,793 = 229,446/x
  3. Step 3: Cross multiply
    929,862x = 1,394,793 × 229,446
  4. Step 4: Simplify right side
    929,862x = 320,029,674,678
  5. Step 5: Solve for x
    x = 320,029,674,678/929,862
  6. Step 6: Final answer
    x = 344,169

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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.