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Finding the Fourth Proportional to 301,999.30, 416,761.86 and 166,034.22

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Solution

The fourth proportional to 301,999.30, 416,761.86 and 166,034.22 is: 229,128.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,999.30 : 416,761.86 = 166,034.22 : x
  2. Step 2: Convert to fraction form
    301,999.30/416,761.86 = 166,034.22/x
  3. Step 3: Cross multiply
    301,999.30x = 416,761.86 × 166,034.22
  4. Step 4: Simplify right side
    301,999.30x = 69,196,730,350.85
  5. Step 5: Solve for x
    x = 69,196,730,350.85/301,999.30
  6. Step 6: Final answer
    x = 229,128.78

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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.