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Finding the Fourth Proportional to 301,116.62, 415,540.88 and 166,980.62

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Solution

The fourth proportional to 301,116.62, 415,540.88 and 166,980.62 is: 230,433.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,116.62 : 415,540.88 = 166,980.62 : x
  2. Step 2: Convert to fraction form
    301,116.62/415,540.88 = 166,980.62/x
  3. Step 3: Cross multiply
    301,116.62x = 415,540.88 × 166,980.62
  4. Step 4: Simplify right side
    301,116.62x = 69,387,273,777.75
  5. Step 5: Solve for x
    x = 69,387,273,777.75/301,116.62
  6. Step 6: Final answer
    x = 230,433.22

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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.