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Finding the Fourth Proportional to 298,553.11, 411,984.62 and 164,417.11

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Solution

The fourth proportional to 298,553.11, 411,984.62 and 164,417.11 is: 226,885.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,553.11 : 411,984.62 = 164,417.11 : x
  2. Step 2: Convert to fraction form
    298,553.11/411,984.62 = 164,417.11/x
  3. Step 3: Cross multiply
    298,553.11x = 411,984.62 × 164,417.11
  4. Step 4: Simplify right side
    298,553.11x = 67,737,320,584.85
  5. Step 5: Solve for x
    x = 67,737,320,584.85/298,553.11
  6. Step 6: Final answer
    x = 226,885.33

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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.