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Finding the Fourth Proportional to 272,493.60, 408,813.30 and 193,761.60

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Solution

The fourth proportional to 272,493.60, 408,813.30 and 193,761.60 is: 290,694.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,493.60 : 408,813.30 = 193,761.60 : x
  2. Step 2: Convert to fraction form
    272,493.60/408,813.30 = 193,761.60/x
  3. Step 3: Cross multiply
    272,493.60x = 408,813.30 × 193,761.60
  4. Step 4: Simplify right side
    272,493.60x = 79,212,319,109.28
  5. Step 5: Solve for x
    x = 79,212,319,109.28/272,493.60
  6. Step 6: Final answer
    x = 290,694.24

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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.