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Finding the Fourth Proportional to 417,839.20, 627,104.40 and 193,544.80

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Solution

The fourth proportional to 417,839.20, 627,104.40 and 193,544.80 is: 290,477.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,839.20 : 627,104.40 = 193,544.80 : x
  2. Step 2: Convert to fraction form
    417,839.20/627,104.40 = 193,544.80/x
  3. Step 3: Cross multiply
    417,839.20x = 627,104.40 × 193,544.80
  4. Step 4: Simplify right side
    417,839.20x = 121,372,795,677.12
  5. Step 5: Solve for x
    x = 121,372,795,677.12/417,839.20
  6. Step 6: Final answer
    x = 290,477.28

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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.