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Finding the Fourth Proportional to 301,999.38, 416,759.42 and 166,035.64

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Solution

The fourth proportional to 301,999.38, 416,759.42 and 166,035.64 is: 229,129.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,999.38 : 416,759.42 = 166,035.64 : x
  2. Step 2: Convert to fraction form
    301,999.38/416,759.42 = 166,035.64/x
  3. Step 3: Cross multiply
    301,999.38x = 416,759.42 × 166,035.64
  4. Step 4: Simplify right side
    301,999.38x = 69,196,917,771.11
  5. Step 5: Solve for x
    x = 69,196,917,771.11/301,999.38
  6. Step 6: Final answer
    x = 229,129.33

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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.