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Finding the Fourth Proportional to 265,270.89, 397,906.36 and 65,595.05

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Solution

The fourth proportional to 265,270.89, 397,906.36 and 65,595.05 is: 98,392.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,270.89 : 397,906.36 = 65,595.05 : x
  2. Step 2: Convert to fraction form
    265,270.89/397,906.36 = 65,595.05/x
  3. Step 3: Cross multiply
    265,270.89x = 397,906.36 × 65,595.05
  4. Step 4: Simplify right side
    265,270.89x = 26,100,687,579.52
  5. Step 5: Solve for x
    x = 26,100,687,579.52/265,270.89
  6. Step 6: Final answer
    x = 98,392.58

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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.