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Finding the Fourth Proportional to 412,684.47, 619,201.67 and 225,477.27

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Solution

The fourth proportional to 412,684.47, 619,201.67 and 225,477.27 is: 338,311.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,684.47 : 619,201.67 = 225,477.27 : x
  2. Step 2: Convert to fraction form
    412,684.47/619,201.67 = 225,477.27/x
  3. Step 3: Cross multiply
    412,684.47x = 619,201.67 × 225,477.27
  4. Step 4: Simplify right side
    412,684.47x = 139,615,901,003.66
  5. Step 5: Solve for x
    x = 139,615,901,003.66/412,684.47
  6. Step 6: Final answer
    x = 338,311.50

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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.