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Finding the Fourth Proportional to 416,137.93, 624,059.17 and 149,826.94

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Solution

The fourth proportional to 416,137.93, 624,059.17 and 149,826.94 is: 224,687.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,137.93 : 624,059.17 = 149,826.94 : x
  2. Step 2: Convert to fraction form
    416,137.93/624,059.17 = 149,826.94/x
  3. Step 3: Cross multiply
    416,137.93x = 624,059.17 × 149,826.94
  4. Step 4: Simplify right side
    416,137.93x = 93,500,873,885.32
  5. Step 5: Solve for x
    x = 93,500,873,885.32/416,137.93
  6. Step 6: Final answer
    x = 224,687.22

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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.