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Finding the Fourth Proportional to 483,782.60, 725,414.70 and 202,982.60

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Solution

The fourth proportional to 483,782.60, 725,414.70 and 202,982.60 is: 304,365.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,782.60 : 725,414.70 = 202,982.60 : x
  2. Step 2: Convert to fraction form
    483,782.60/725,414.70 = 202,982.60/x
  3. Step 3: Cross multiply
    483,782.60x = 725,414.70 × 202,982.60
  4. Step 4: Simplify right side
    483,782.60x = 147,246,561,884.22
  5. Step 5: Solve for x
    x = 147,246,561,884.22/483,782.60
  6. Step 6: Final answer
    x = 304,365.15

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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.