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Finding the Fourth Proportional to 301,896.30, 416,617.23 and 165,930.21

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Solution

The fourth proportional to 301,896.30, 416,617.23 and 165,930.21 is: 228,983.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,896.30 : 416,617.23 = 165,930.21 : x
  2. Step 2: Convert to fraction form
    301,896.30/416,617.23 = 165,930.21/x
  3. Step 3: Cross multiply
    301,896.30x = 416,617.23 × 165,930.21
  4. Step 4: Simplify right side
    301,896.30x = 69,129,384,463.52
  5. Step 5: Solve for x
    x = 69,129,384,463.52/301,896.30
  6. Step 6: Final answer
    x = 228,983.87

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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.