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Finding the Fourth Proportional to 311,523.68, 430,046.22 and 182,444.22

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Solution

The fourth proportional to 311,523.68, 430,046.22 and 182,444.22 is: 251,857.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,523.68 : 430,046.22 = 182,444.22 : x
  2. Step 2: Convert to fraction form
    311,523.68/430,046.22 = 182,444.22/x
  3. Step 3: Cross multiply
    311,523.68x = 430,046.22 × 182,444.22
  4. Step 4: Simplify right side
    311,523.68x = 78,459,447,171.85
  5. Step 5: Solve for x
    x = 78,459,447,171.85/311,523.68
  6. Step 6: Final answer
    x = 251,857.09

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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.