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Finding the Fourth Proportional to 301,863.06, 416,480.09 and 180,960.23

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Solution

The fourth proportional to 301,863.06, 416,480.09 and 180,960.23 is: 249,670.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,863.06 : 416,480.09 = 180,960.23 : x
  2. Step 2: Convert to fraction form
    301,863.06/416,480.09 = 180,960.23/x
  3. Step 3: Cross multiply
    301,863.06x = 416,480.09 × 180,960.23
  4. Step 4: Simplify right side
    301,863.06x = 75,366,332,876.82
  5. Step 5: Solve for x
    x = 75,366,332,876.82/301,863.06
  6. Step 6: Final answer
    x = 249,670.61

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1.5x scale

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.