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Finding the Fourth Proportional to 468,404, 702,625.44 and 135,980

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Solution

The fourth proportional to 468,404, 702,625.44 and 135,980 is: 203,975.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,404 : 702,625.44 = 135,980 : x
  2. Step 2: Convert to fraction form
    468,404/702,625.44 = 135,980/x
  3. Step 3: Cross multiply
    468,404x = 702,625.44 × 135,980
  4. Step 4: Simplify right side
    468,404x = 95,543,007,331.20
  5. Step 5: Solve for x
    x = 95,543,007,331.20/468,404
  6. Step 6: Final answer
    x = 203,975.64

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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.