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Finding the Fourth Proportional to 315,299.20, 472,481.52 and 259,535.20

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Solution

The fourth proportional to 315,299.20, 472,481.52 and 259,535.20 is: 388,918.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,299.20 : 472,481.52 = 259,535.20 : x
  2. Step 2: Convert to fraction form
    315,299.20/472,481.52 = 259,535.20/x
  3. Step 3: Cross multiply
    315,299.20x = 472,481.52 × 259,535.20
  4. Step 4: Simplify right side
    315,299.20x = 122,625,585,789.50
  5. Step 5: Solve for x
    x = 122,625,585,789.50/315,299.20
  6. Step 6: Final answer
    x = 388,918.16

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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.