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Finding the Fourth Proportional to 468,399, 702,617.94 and 135,975

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Solution

The fourth proportional to 468,399, 702,617.94 and 135,975 is: 203,968.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,399 : 702,617.94 = 135,975 : x
  2. Step 2: Convert to fraction form
    468,399/702,617.94 = 135,975/x
  3. Step 3: Cross multiply
    468,399x = 702,617.94 × 135,975
  4. Step 4: Simplify right side
    468,399x = 95,538,474,391.50
  5. Step 5: Solve for x
    x = 95,538,474,391.50/468,399
  6. Step 6: Final answer
    x = 203,968.14

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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.