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Finding the Fourth Proportional to 301,620.26, 416,235.88 and 165,654.24

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Solution

The fourth proportional to 301,620.26, 416,235.88 and 165,654.24 is: 228,602.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,620.26 : 416,235.88 = 165,654.24 : x
  2. Step 2: Convert to fraction form
    301,620.26/416,235.88 = 165,654.24/x
  3. Step 3: Cross multiply
    301,620.26x = 416,235.88 × 165,654.24
  4. Step 4: Simplify right side
    301,620.26x = 68,951,237,480.12
  5. Step 5: Solve for x
    x = 68,951,237,480.12/301,620.26
  6. Step 6: Final answer
    x = 228,602.81

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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.