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Finding the Fourth Proportional to 311,867.94, 467,852.40 and 122,225.50

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Solution

The fourth proportional to 311,867.94, 467,852.40 and 122,225.50 is: 183,358.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,867.94 : 467,852.40 = 122,225.50 : x
  2. Step 2: Convert to fraction form
    311,867.94/467,852.40 = 122,225.50/x
  3. Step 3: Cross multiply
    311,867.94x = 467,852.40 × 122,225.50
  4. Step 4: Simplify right side
    311,867.94x = 57,183,493,516.20
  5. Step 5: Solve for x
    x = 57,183,493,516.20/311,867.94
  6. Step 6: Final answer
    x = 183,358.04

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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.