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Finding the Fourth Proportional to 394,932.34, 545,006.79 and 213,644.23

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Solution

The fourth proportional to 394,932.34, 545,006.79 and 213,644.23 is: 294,829.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,932.34 : 545,006.79 = 213,644.23 : x
  2. Step 2: Convert to fraction form
    394,932.34/545,006.79 = 213,644.23/x
  3. Step 3: Cross multiply
    394,932.34x = 545,006.79 × 213,644.23
  4. Step 4: Simplify right side
    394,932.34x = 116,437,555,994.32
  5. Step 5: Solve for x
    x = 116,437,555,994.32/394,932.34
  6. Step 6: Final answer
    x = 294,829.12

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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.