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Finding the Fourth Proportional to 422,241.14, 633,392.54 and 118,680.07

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Solution

The fourth proportional to 422,241.14, 633,392.54 and 118,680.07 is: 178,028.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,241.14 : 633,392.54 = 118,680.07 : x
  2. Step 2: Convert to fraction form
    422,241.14/633,392.54 = 118,680.07/x
  3. Step 3: Cross multiply
    422,241.14x = 633,392.54 × 118,680.07
  4. Step 4: Simplify right side
    422,241.14x = 75,171,070,984.68
  5. Step 5: Solve for x
    x = 75,171,070,984.68/422,241.14
  6. Step 6: Final answer
    x = 178,028.77

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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.