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Finding the Fourth Proportional to 394,673.84, 544,638.84 and 215,822

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Solution

The fourth proportional to 394,673.84, 544,638.84 and 215,822 is: 297,828.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,673.84 : 544,638.84 = 215,822 : x
  2. Step 2: Convert to fraction form
    394,673.84/544,638.84 = 215,822/x
  3. Step 3: Cross multiply
    394,673.84x = 544,638.84 × 215,822
  4. Step 4: Simplify right side
    394,673.84x = 117,545,043,726.48
  5. Step 5: Solve for x
    x = 117,545,043,726.48/394,673.84
  6. Step 6: Final answer
    x = 297,828.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.