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Finding the Fourth Proportional to 331,211, 457,072.26 and 180,309.08

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Solution

The fourth proportional to 331,211, 457,072.26 and 180,309.08 is: 248,827.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,211 : 457,072.26 = 180,309.08 : x
  2. Step 2: Convert to fraction form
    331,211/457,072.26 = 180,309.08/x
  3. Step 3: Cross multiply
    331,211x = 457,072.26 × 180,309.08
  4. Step 4: Simplify right side
    331,211x = 82,414,278,694.12
  5. Step 5: Solve for x
    x = 82,414,278,694.12/331,211
  6. Step 6: Final answer
    x = 248,827.12

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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.