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Finding the Fourth Proportional to 468,810.54, 646,945.20 and 275,215.14

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Solution

The fourth proportional to 468,810.54, 646,945.20 and 275,215.14 is: 379,789.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,810.54 : 646,945.20 = 275,215.14 : x
  2. Step 2: Convert to fraction form
    468,810.54/646,945.20 = 275,215.14/x
  3. Step 3: Cross multiply
    468,810.54x = 646,945.20 × 275,215.14
  4. Step 4: Simplify right side
    468,810.54x = 178,049,113,790.33
  5. Step 5: Solve for x
    x = 178,049,113,790.33/468,810.54
  6. Step 6: Final answer
    x = 379,789.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.