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Finding the Fourth Proportional to 484,105.05, 725,493.25 and 306,293.75

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Solution

The fourth proportional to 484,105.05, 725,493.25 and 306,293.75 is: 459,020.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,105.05 : 725,493.25 = 306,293.75 : x
  2. Step 2: Convert to fraction form
    484,105.05/725,493.25 = 306,293.75/x
  3. Step 3: Cross multiply
    484,105.05x = 725,493.25 × 306,293.75
  4. Step 4: Simplify right side
    484,105.05x = 222,214,046,610.72
  5. Step 5: Solve for x
    x = 222,214,046,610.72/484,105.05
  6. Step 6: Final answer
    x = 459,020.30

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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.