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Finding the Fourth Proportional to 460,377.43, 635,352.77 and 279,097

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Solution

The fourth proportional to 460,377.43, 635,352.77 and 279,097 is: 385,173.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,377.43 : 635,352.77 = 279,097 : x
  2. Step 2: Convert to fraction form
    460,377.43/635,352.77 = 279,097/x
  3. Step 3: Cross multiply
    460,377.43x = 635,352.77 × 279,097
  4. Step 4: Simplify right side
    460,377.43x = 177,325,052,048.69
  5. Step 5: Solve for x
    x = 177,325,052,048.69/460,377.43
  6. Step 6: Final answer
    x = 385,173.21

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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.