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Finding the Fourth Proportional to 417,883.37, 626,794.38 and 133,497.54

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Solution

The fourth proportional to 417,883.37, 626,794.38 and 133,497.54 is: 200,236.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,883.37 : 626,794.38 = 133,497.54 : x
  2. Step 2: Convert to fraction form
    417,883.37/626,794.38 = 133,497.54/x
  3. Step 3: Cross multiply
    417,883.37x = 626,794.38 × 133,497.54
  4. Step 4: Simplify right side
    417,883.37x = 83,675,507,815.83
  5. Step 5: Solve for x
    x = 83,675,507,815.83/417,883.37
  6. Step 6: Final answer
    x = 200,236.51

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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.