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Finding the Fourth Proportional to 394,886.14, 544,942.94 and 213,598.01

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Solution

The fourth proportional to 394,886.14, 544,942.94 and 213,598.01 is: 294,765.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,886.14 : 544,942.94 = 213,598.01 : x
  2. Step 2: Convert to fraction form
    394,886.14/544,942.94 = 213,598.01/x
  3. Step 3: Cross multiply
    394,886.14x = 544,942.94 × 213,598.01
  4. Step 4: Simplify right side
    394,886.14x = 116,398,729,443.90
  5. Step 5: Solve for x
    x = 116,398,729,443.90/394,886.14
  6. Step 6: Final answer
    x = 294,765.30

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Why These Related Problems?

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