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Finding the Fourth Proportional to 301,871.36, 416,580.36 and 165,906.56

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Solution

The fourth proportional to 301,871.36, 416,580.36 and 165,906.56 is: 228,949.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,871.36 : 416,580.36 = 165,906.56 : x
  2. Step 2: Convert to fraction form
    301,871.36/416,580.36 = 165,906.56/x
  3. Step 3: Cross multiply
    301,871.36x = 416,580.36 × 165,906.56
  4. Step 4: Simplify right side
    301,871.36x = 69,113,414,491.16
  5. Step 5: Solve for x
    x = 69,113,414,491.16/301,871.36
  6. Step 6: Final answer
    x = 228,949.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.