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Finding the Fourth Proportional to 265,694.20, 398,264.46 and 115,894.24

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Solution

The fourth proportional to 265,694.20, 398,264.46 and 115,894.24 is: 173,720.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,694.20 : 398,264.46 = 115,894.24 : x
  2. Step 2: Convert to fraction form
    265,694.20/398,264.46 = 115,894.24/x
  3. Step 3: Cross multiply
    265,694.20x = 398,264.46 × 115,894.24
  4. Step 4: Simplify right side
    265,694.20x = 46,156,556,910.71
  5. Step 5: Solve for x
    x = 46,156,556,910.71/265,694.20
  6. Step 6: Final answer
    x = 173,720.60

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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.