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Finding the Fourth Proportional to 301,201.37, 415,644.12 and 165,232.39

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Solution

The fourth proportional to 301,201.37, 415,644.12 and 165,232.39 is: 228,013.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,201.37 : 415,644.12 = 165,232.39 : x
  2. Step 2: Convert to fraction form
    301,201.37/415,644.12 = 165,232.39/x
  3. Step 3: Cross multiply
    301,201.37x = 415,644.12 × 165,232.39
  4. Step 4: Simplify right side
    301,201.37x = 68,677,873,472.08
  5. Step 5: Solve for x
    x = 68,677,873,472.08/301,201.37
  6. Step 6: Final answer
    x = 228,013.15

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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.