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Finding the Fourth Proportional to 272,879.76, 408,710.70 and 209,231.36

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Solution

The fourth proportional to 272,879.76, 408,710.70 and 209,231.36 is: 313,380.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,879.76 : 408,710.70 = 209,231.36 : x
  2. Step 2: Convert to fraction form
    272,879.76/408,710.70 = 209,231.36/x
  3. Step 3: Cross multiply
    272,879.76x = 408,710.70 × 209,231.36
  4. Step 4: Simplify right side
    272,879.76x = 85,515,095,607.55
  5. Step 5: Solve for x
    x = 85,515,095,607.55/272,879.76
  6. Step 6: Final answer
    x = 313,380.13

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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.