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Finding the Fourth Proportional to 237,311, 327,407.75 and 135,262.85

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Solution

The fourth proportional to 237,311, 327,407.75 and 135,262.85 is: 186,616.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,311 : 327,407.75 = 135,262.85 : x
  2. Step 2: Convert to fraction form
    237,311/327,407.75 = 135,262.85/x
  3. Step 3: Cross multiply
    237,311x = 327,407.75 × 135,262.85
  4. Step 4: Simplify right side
    237,311x = 44,286,105,377.09
  5. Step 5: Solve for x
    x = 44,286,105,377.09/237,311
  6. Step 6: Final answer
    x = 186,616.32

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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.