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Finding the Fourth Proportional to 301,082.77, 415,512.89 and 166,946.77

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Solution

The fourth proportional to 301,082.77, 415,512.89 and 166,946.77 is: 230,396.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,082.77 : 415,512.89 = 166,946.77 : x
  2. Step 2: Convert to fraction form
    301,082.77/415,512.89 = 166,946.77/x
  3. Step 3: Cross multiply
    301,082.77x = 415,512.89 × 166,946.77
  4. Step 4: Simplify right side
    301,082.77x = 69,368,534,878.87
  5. Step 5: Solve for x
    x = 69,368,534,878.87/301,082.77
  6. Step 6: Final answer
    x = 230,396.89

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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.