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Finding the Fourth Proportional to 275,807.20, 414,099.60 and 170,831.20

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Solution

The fourth proportional to 275,807.20, 414,099.60 and 170,831.20 is: 256,487.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,807.20 : 414,099.60 = 170,831.20 : x
  2. Step 2: Convert to fraction form
    275,807.20/414,099.60 = 170,831.20/x
  3. Step 3: Cross multiply
    275,807.20x = 414,099.60 × 170,831.20
  4. Step 4: Simplify right side
    275,807.20x = 70,741,131,587.52
  5. Step 5: Solve for x
    x = 70,741,131,587.52/275,807.20
  6. Step 6: Final answer
    x = 256,487.62

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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.