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Finding the Fourth Proportional to 301,520.55, 416,104.31 and 165,553.31

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Solution

The fourth proportional to 301,520.55, 416,104.31 and 165,553.31 is: 228,466.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,520.55 : 416,104.31 = 165,553.31 : x
  2. Step 2: Convert to fraction form
    301,520.55/416,104.31 = 165,553.31/x
  3. Step 3: Cross multiply
    301,520.55x = 416,104.31 × 165,553.31
  4. Step 4: Simplify right side
    301,520.55x = 68,887,443,181.97
  5. Step 5: Solve for x
    x = 68,887,443,181.97/301,520.55
  6. Step 6: Final answer
    x = 228,466.83

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1.5x scale

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.