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Finding the Fourth Proportional to 307,584.74, 424,467.24 and 180,260.48

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Solution

The fourth proportional to 307,584.74, 424,467.24 and 180,260.48 is: 248,759.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,584.74 : 424,467.24 = 180,260.48 : x
  2. Step 2: Convert to fraction form
    307,584.74/424,467.24 = 180,260.48/x
  3. Step 3: Cross multiply
    307,584.74x = 424,467.24 × 180,260.48
  4. Step 4: Simplify right side
    307,584.74x = 76,514,668,426.68
  5. Step 5: Solve for x
    x = 76,514,668,426.68/307,584.74
  6. Step 6: Final answer
    x = 248,759.64

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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.