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Finding the Fourth Proportional to 311,230.22, 466,096.86 and 177,705.77

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Solution

The fourth proportional to 311,230.22, 466,096.86 and 177,705.77 is: 266,131.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,230.22 : 466,096.86 = 177,705.77 : x
  2. Step 2: Convert to fraction form
    311,230.22/466,096.86 = 177,705.77/x
  3. Step 3: Cross multiply
    311,230.22x = 466,096.86 × 177,705.77
  4. Step 4: Simplify right side
    311,230.22x = 82,828,099,070.40
  5. Step 5: Solve for x
    x = 82,828,099,070.40/311,230.22
  6. Step 6: Final answer
    x = 266,131.29

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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.