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Finding the Fourth Proportional to 265,034.54, 397,556.01 and 65,354.98

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Solution

The fourth proportional to 265,034.54, 397,556.01 and 65,354.98 is: 98,033.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,034.54 : 397,556.01 = 65,354.98 : x
  2. Step 2: Convert to fraction form
    265,034.54/397,556.01 = 65,354.98/x
  3. Step 3: Cross multiply
    265,034.54x = 397,556.01 × 65,354.98
  4. Step 4: Simplify right side
    265,034.54x = 25,982,265,082.43
  5. Step 5: Solve for x
    x = 25,982,265,082.43/265,034.54
  6. Step 6: Final answer
    x = 98,033.51

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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.