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Finding the Fourth Proportional to 301,015.77, 415,420.44 and 166,879.77

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Solution

The fourth proportional to 301,015.77, 415,420.44 and 166,879.77 is: 230,304.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,015.77 : 415,420.44 = 166,879.77 : x
  2. Step 2: Convert to fraction form
    301,015.77/415,420.44 = 166,879.77/x
  3. Step 3: Cross multiply
    301,015.77x = 415,420.44 × 166,879.77
  4. Step 4: Simplify right side
    301,015.77x = 69,325,267,480.50
  5. Step 5: Solve for x
    x = 69,325,267,480.50/301,015.77
  6. Step 6: Final answer
    x = 230,304.44

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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.