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Finding the Fourth Proportional to 447,754.40, 671,209.32 and 222,902

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Solution

The fourth proportional to 447,754.40, 671,209.32 and 222,902 is: 334,142.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,754.40 : 671,209.32 = 222,902 : x
  2. Step 2: Convert to fraction form
    447,754.40/671,209.32 = 222,902/x
  3. Step 3: Cross multiply
    447,754.40x = 671,209.32 × 222,902
  4. Step 4: Simplify right side
    447,754.40x = 149,613,899,846.64
  5. Step 5: Solve for x
    x = 149,613,899,846.64/447,754.40
  6. Step 6: Final answer
    x = 334,142.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.