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Finding the Fourth Proportional to 394,977.03, 545,066.82 and 213,688.38

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Solution

The fourth proportional to 394,977.03, 545,066.82 and 213,688.38 is: 294,889.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,977.03 : 545,066.82 = 213,688.38 : x
  2. Step 2: Convert to fraction form
    394,977.03/545,066.82 = 213,688.38/x
  3. Step 3: Cross multiply
    394,977.03x = 545,066.82 × 213,688.38
  4. Step 4: Simplify right side
    394,977.03x = 116,474,445,757.55
  5. Step 5: Solve for x
    x = 116,474,445,757.55/394,977.03
  6. Step 6: Final answer
    x = 294,889.16

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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.