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Finding the Fourth Proportional to 271,367.20, 407,050.80 and 218,879.20

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Solution

The fourth proportional to 271,367.20, 407,050.80 and 218,879.20 is: 328,318.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,367.20 : 407,050.80 = 218,879.20 : x
  2. Step 2: Convert to fraction form
    271,367.20/407,050.80 = 218,879.20/x
  3. Step 3: Cross multiply
    271,367.20x = 407,050.80 × 218,879.20
  4. Step 4: Simplify right side
    271,367.20x = 89,094,953,463.36
  5. Step 5: Solve for x
    x = 89,094,953,463.36/271,367.20
  6. Step 6: Final answer
    x = 328,318.80

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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.