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Finding the Fourth Proportional to 271,955.20, 407,932.80 and 209,747.20

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Solution

The fourth proportional to 271,955.20, 407,932.80 and 209,747.20 is: 314,620.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,955.20 : 407,932.80 = 209,747.20 : x
  2. Step 2: Convert to fraction form
    271,955.20/407,932.80 = 209,747.20/x
  3. Step 3: Cross multiply
    271,955.20x = 407,932.80 × 209,747.20
  4. Step 4: Simplify right side
    271,955.20x = 85,562,762,588.16
  5. Step 5: Solve for x
    x = 85,562,762,588.16/271,955.20
  6. Step 6: Final answer
    x = 314,620.80

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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.