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Finding the Fourth Proportional to 447,706.94, 617,804.37 and 254,118.60

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Solution

The fourth proportional to 447,706.94, 617,804.37 and 254,118.60 is: 350,665.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,706.94 : 617,804.37 = 254,118.60 : x
  2. Step 2: Convert to fraction form
    447,706.94/617,804.37 = 254,118.60/x
  3. Step 3: Cross multiply
    447,706.94x = 617,804.37 × 254,118.60
  4. Step 4: Simplify right side
    447,706.94x = 156,995,581,578.28
  5. Step 5: Solve for x
    x = 156,995,581,578.28/447,706.94
  6. Step 6: Final answer
    x = 350,665.96

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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.