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Finding the Fourth Proportional to 728,274, 1,092,411 and 229,638

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Solution

The fourth proportional to 728,274, 1,092,411 and 229,638 is: 344,457

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,274 : 1,092,411 = 229,638 : x
  2. Step 2: Convert to fraction form
    728,274/1,092,411 = 229,638/x
  3. Step 3: Cross multiply
    728,274x = 1,092,411 × 229,638
  4. Step 4: Simplify right side
    728,274x = 250,859,077,218
  5. Step 5: Solve for x
    x = 250,859,077,218/728,274
  6. Step 6: Final answer
    x = 344,457

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.