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Finding the Fourth Proportional to 411,675.75, 616,952.09 and 251,807.27

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Solution

The fourth proportional to 411,675.75, 616,952.09 and 251,807.27 is: 377,367.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,675.75 : 616,952.09 = 251,807.27 : x
  2. Step 2: Convert to fraction form
    411,675.75/616,952.09 = 251,807.27/x
  3. Step 3: Cross multiply
    411,675.75x = 616,952.09 × 251,807.27
  4. Step 4: Simplify right side
    411,675.75x = 155,353,019,048.45
  5. Step 5: Solve for x
    x = 155,353,019,048.45/411,675.75
  6. Step 6: Final answer
    x = 377,367.43

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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.