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Finding the Fourth Proportional to 277,896.33, 417,402.45 and 165,795.26

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Solution

The fourth proportional to 277,896.33, 417,402.45 and 165,795.26 is: 249,025.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,896.33 : 417,402.45 = 165,795.26 : x
  2. Step 2: Convert to fraction form
    277,896.33/417,402.45 = 165,795.26/x
  3. Step 3: Cross multiply
    277,896.33x = 417,402.45 × 165,795.26
  4. Step 4: Simplify right side
    277,896.33x = 69,203,345,635.37
  5. Step 5: Solve for x
    x = 69,203,345,635.37/277,896.33
  6. Step 6: Final answer
    x = 249,025.76

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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.