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Finding the Fourth Proportional to 416,395.92, 624,211.12 and 150,091.24

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Solution

The fourth proportional to 416,395.92, 624,211.12 and 150,091.24 is: 224,998.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,395.92 : 624,211.12 = 150,091.24 : x
  2. Step 2: Convert to fraction form
    416,395.92/624,211.12 = 150,091.24/x
  3. Step 3: Cross multiply
    416,395.92x = 624,211.12 × 150,091.24
  4. Step 4: Simplify right side
    416,395.92x = 93,688,621,022.59
  5. Step 5: Solve for x
    x = 93,688,621,022.59/416,395.92
  6. Step 6: Final answer
    x = 224,998.89

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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.