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Finding the Fourth Proportional to 277,958.43, 417,495.64 and 165,857.47

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Solution

The fourth proportional to 277,958.43, 417,495.64 and 165,857.47 is: 249,119.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,958.43 : 417,495.64 = 165,857.47 : x
  2. Step 2: Convert to fraction form
    277,958.43/417,495.64 = 165,857.47/x
  3. Step 3: Cross multiply
    277,958.43x = 417,495.64 × 165,857.47
  4. Step 4: Simplify right side
    277,958.43x = 69,244,770,171.79
  5. Step 5: Solve for x
    x = 69,244,770,171.79/277,958.43
  6. Step 6: Final answer
    x = 249,119.16

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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.