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Finding the Fourth Proportional to 296,610.73, 409,358.77 and 167,554.64

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Solution

The fourth proportional to 296,610.73, 409,358.77 and 167,554.64 is: 231,245.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,610.73 : 409,358.77 = 167,554.64 : x
  2. Step 2: Convert to fraction form
    296,610.73/409,358.77 = 167,554.64/x
  3. Step 3: Cross multiply
    296,610.73x = 409,358.77 × 167,554.64
  4. Step 4: Simplify right side
    296,610.73x = 68,589,961,942.70
  5. Step 5: Solve for x
    x = 68,589,961,942.70/296,610.73
  6. Step 6: Final answer
    x = 231,245.72

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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.