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Finding the Fourth Proportional to 468,976.80, 647,149.68 and 265,046.16

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Solution

The fourth proportional to 468,976.80, 647,149.68 and 265,046.16 is: 365,742.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,976.80 : 647,149.68 = 265,046.16 : x
  2. Step 2: Convert to fraction form
    468,976.80/647,149.68 = 265,046.16/x
  3. Step 3: Cross multiply
    468,976.80x = 647,149.68 × 265,046.16
  4. Step 4: Simplify right side
    468,976.80x = 171,524,537,629.23
  5. Step 5: Solve for x
    x = 171,524,537,629.23/468,976.80
  6. Step 6: Final answer
    x = 365,742.05

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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.