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Finding the Fourth Proportional to 277,944.67, 417,474.83 and 165,843.64

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Solution

The fourth proportional to 277,944.67, 417,474.83 and 165,843.64 is: 249,098.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,944.67 : 417,474.83 = 165,843.64 : x
  2. Step 2: Convert to fraction form
    277,944.67/417,474.83 = 165,843.64/x
  3. Step 3: Cross multiply
    277,944.67x = 417,474.83 × 165,843.64
  4. Step 4: Simplify right side
    277,944.67x = 69,235,545,415.58
  5. Step 5: Solve for x
    x = 69,235,545,415.58/277,944.67
  6. Step 6: Final answer
    x = 249,098.30

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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.