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Finding the Fourth Proportional to 265,889.84, 367,063.40 and 205,324.52

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Solution

The fourth proportional to 265,889.84, 367,063.40 and 205,324.52 is: 283,452.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,889.84 : 367,063.40 = 205,324.52 : x
  2. Step 2: Convert to fraction form
    265,889.84/367,063.40 = 205,324.52/x
  3. Step 3: Cross multiply
    265,889.84x = 367,063.40 × 205,324.52
  4. Step 4: Simplify right side
    265,889.84x = 75,367,115,387.95
  5. Step 5: Solve for x
    x = 75,367,115,387.95/265,889.84
  6. Step 6: Final answer
    x = 283,452.41

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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.