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Finding the Fourth Proportional to 277,892.30, 417,396.45 and 165,791.24

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Solution

The fourth proportional to 277,892.30, 417,396.45 and 165,791.24 is: 249,019.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,892.30 : 417,396.45 = 165,791.24 : x
  2. Step 2: Convert to fraction form
    277,892.30/417,396.45 = 165,791.24/x
  3. Step 3: Cross multiply
    277,892.30x = 417,396.45 × 165,791.24
  4. Step 4: Simplify right side
    277,892.30x = 69,200,675,017.10
  5. Step 5: Solve for x
    x = 69,200,675,017.10/277,892.30
  6. Step 6: Final answer
    x = 249,019.76

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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.