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Finding the Fourth Proportional to 415,369.43, 624,354.71 and 274,122.39

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Solution

The fourth proportional to 415,369.43, 624,354.71 and 274,122.39 is: 412,041.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,369.43 : 624,354.71 = 274,122.39 : x
  2. Step 2: Convert to fraction form
    415,369.43/624,354.71 = 274,122.39/x
  3. Step 3: Cross multiply
    415,369.43x = 624,354.71 × 274,122.39
  4. Step 4: Simplify right side
    415,369.43x = 171,149,603,942.35
  5. Step 5: Solve for x
    x = 171,149,603,942.35/415,369.43
  6. Step 6: Final answer
    x = 412,041.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.