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Finding the Fourth Proportional to 416,391.90, 624,205.14 and 150,087.24

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Solution

The fourth proportional to 416,391.90, 624,205.14 and 150,087.24 is: 224,992.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,391.90 : 624,205.14 = 150,087.24 : x
  2. Step 2: Convert to fraction form
    416,391.90/624,205.14 = 150,087.24/x
  3. Step 3: Cross multiply
    416,391.90x = 624,205.14 × 150,087.24
  4. Step 4: Simplify right side
    416,391.90x = 93,685,226,656.41
  5. Step 5: Solve for x
    x = 93,685,226,656.41/416,391.90
  6. Step 6: Final answer
    x = 224,992.91

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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.