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Finding the Fourth Proportional to 650,765.20, 976,057.80 and 201,794.80

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Solution

The fourth proportional to 650,765.20, 976,057.80 and 201,794.80 is: 302,664.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,765.20 : 976,057.80 = 201,794.80 : x
  2. Step 2: Convert to fraction form
    650,765.20/976,057.80 = 201,794.80/x
  3. Step 3: Cross multiply
    650,765.20x = 976,057.80 × 201,794.80
  4. Step 4: Simplify right side
    650,765.20x = 196,963,388,539.44
  5. Step 5: Solve for x
    x = 196,963,388,539.44/650,765.20
  6. Step 6: Final answer
    x = 302,664.29

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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.