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Finding the Fourth Proportional to 464,817.96, 641,469.78 and 364,041

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Solution

The fourth proportional to 464,817.96, 641,469.78 and 364,041 is: 502,393.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,817.96 : 641,469.78 = 364,041 : x
  2. Step 2: Convert to fraction form
    464,817.96/641,469.78 = 364,041/x
  3. Step 3: Cross multiply
    464,817.96x = 641,469.78 × 364,041
  4. Step 4: Simplify right side
    464,817.96x = 233,521,300,180.98
  5. Step 5: Solve for x
    x = 233,521,300,180.98/464,817.96
  6. Step 6: Final answer
    x = 502,393.02

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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.