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Finding the Fourth Proportional to 301,604.10, 416,216.51 and 165,640.87

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Solution

The fourth proportional to 301,604.10, 416,216.51 and 165,640.87 is: 228,585.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,604.10 : 416,216.51 = 165,640.87 : x
  2. Step 2: Convert to fraction form
    301,604.10/416,216.51 = 165,640.87/x
  3. Step 3: Cross multiply
    301,604.10x = 416,216.51 × 165,640.87
  4. Step 4: Simplify right side
    301,604.10x = 68,942,464,824.76
  5. Step 5: Solve for x
    x = 68,942,464,824.76/301,604.10
  6. Step 6: Final answer
    x = 228,585.97

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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.