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Finding the Fourth Proportional to 301,857.24, 416,542.82 and 165,888.28

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Solution

The fourth proportional to 301,857.24, 416,542.82 and 165,888.28 is: 228,914.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,857.24 : 416,542.82 = 165,888.28 : x
  2. Step 2: Convert to fraction form
    301,857.24/416,542.82 = 165,888.28/x
  3. Step 3: Cross multiply
    301,857.24x = 416,542.82 × 165,888.28
  4. Step 4: Simplify right side
    301,857.24x = 69,099,571,956.15
  5. Step 5: Solve for x
    x = 69,099,571,956.15/301,857.24
  6. Step 6: Final answer
    x = 228,914.74

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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.