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Finding the Fourth Proportional to 394,946.49, 545,024.97 and 213,658.38

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Solution

The fourth proportional to 394,946.49, 545,024.97 and 213,658.38 is: 294,847.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,946.49 : 545,024.97 = 213,658.38 : x
  2. Step 2: Convert to fraction form
    394,946.49/545,024.97 = 213,658.38/x
  3. Step 3: Cross multiply
    394,946.49x = 545,024.97 × 213,658.38
  4. Step 4: Simplify right side
    394,946.49x = 116,449,151,081.46
  5. Step 5: Solve for x
    x = 116,449,151,081.46/394,946.49
  6. Step 6: Final answer
    x = 294,847.92

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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.