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Finding the Fourth Proportional to 394,234, 544,042.92 and 215,386

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Solution

The fourth proportional to 394,234, 544,042.92 and 215,386 is: 297,232.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,234 : 544,042.92 = 215,386 : x
  2. Step 2: Convert to fraction form
    394,234/544,042.92 = 215,386/x
  3. Step 3: Cross multiply
    394,234x = 544,042.92 × 215,386
  4. Step 4: Simplify right side
    394,234x = 117,179,228,367.12
  5. Step 5: Solve for x
    x = 117,179,228,367.12/394,234
  6. Step 6: Final answer
    x = 297,232.68

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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.