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Finding the Fourth Proportional to 627,769.60, 941,308.80 and 206,828.80

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Solution

The fourth proportional to 627,769.60, 941,308.80 and 206,828.80 is: 310,129.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,769.60 : 941,308.80 = 206,828.80 : x
  2. Step 2: Convert to fraction form
    627,769.60/941,308.80 = 206,828.80/x
  3. Step 3: Cross multiply
    627,769.60x = 941,308.80 × 206,828.80
  4. Step 4: Simplify right side
    627,769.60x = 194,689,769,533.44
  5. Step 5: Solve for x
    x = 194,689,769,533.44/627,769.60
  6. Step 6: Final answer
    x = 310,129.34

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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.