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Finding the Fourth Proportional to 272,537.60, 408,879.30 and 193,805.60

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Solution

The fourth proportional to 272,537.60, 408,879.30 and 193,805.60 is: 290,760.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,537.60 : 408,879.30 = 193,805.60 : x
  2. Step 2: Convert to fraction form
    272,537.60/408,879.30 = 193,805.60/x
  3. Step 3: Cross multiply
    272,537.60x = 408,879.30 × 193,805.60
  4. Step 4: Simplify right side
    272,537.60x = 79,243,098,064.08
  5. Step 5: Solve for x
    x = 79,243,098,064.08/272,537.60
  6. Step 6: Final answer
    x = 290,760.24

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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.