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Finding the Fourth Proportional to 416,640.33, 624,831.51 and 150,367.14

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Solution

The fourth proportional to 416,640.33, 624,831.51 and 150,367.14 is: 225,504.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,640.33 : 624,831.51 = 150,367.14 : x
  2. Step 2: Convert to fraction form
    416,640.33/624,831.51 = 150,367.14/x
  3. Step 3: Cross multiply
    416,640.33x = 624,831.51 × 150,367.14
  4. Step 4: Simplify right side
    416,640.33x = 93,954,127,140.58
  5. Step 5: Solve for x
    x = 93,954,127,140.58/416,640.33
  6. Step 6: Final answer
    x = 225,504.16

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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.