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Finding the Fourth Proportional to 416,392.40, 624,205.89 and 150,087.74

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Solution

The fourth proportional to 416,392.40, 624,205.89 and 150,087.74 is: 224,993.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,392.40 : 624,205.89 = 150,087.74 : x
  2. Step 2: Convert to fraction form
    416,392.40/624,205.89 = 150,087.74/x
  3. Step 3: Cross multiply
    416,392.40x = 624,205.89 × 150,087.74
  4. Step 4: Simplify right side
    416,392.40x = 93,685,651,324.79
  5. Step 5: Solve for x
    x = 93,685,651,324.79/416,392.40
  6. Step 6: Final answer
    x = 224,993.66

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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.