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Finding the Fourth Proportional to 419,434.90, 578,770.05 and 238,081.30

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Solution

The fourth proportional to 419,434.90, 578,770.05 and 238,081.30 is: 328,523.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,434.90 : 578,770.05 = 238,081.30 : x
  2. Step 2: Convert to fraction form
    419,434.90/578,770.05 = 238,081.30/x
  3. Step 3: Cross multiply
    419,434.90x = 578,770.05 × 238,081.30
  4. Step 4: Simplify right side
    419,434.90x = 137,794,325,905.07
  5. Step 5: Solve for x
    x = 137,794,325,905.07/419,434.90
  6. Step 6: Final answer
    x = 328,523.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.