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Finding the Fourth Proportional to 399,122.14, 598,365.30 and 230,451.14

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Solution

The fourth proportional to 399,122.14, 598,365.30 and 230,451.14 is: 345,493.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,122.14 : 598,365.30 = 230,451.14 : x
  2. Step 2: Convert to fraction form
    399,122.14/598,365.30 = 230,451.14/x
  3. Step 3: Cross multiply
    399,122.14x = 598,365.30 × 230,451.14
  4. Step 4: Simplify right side
    399,122.14x = 137,893,965,521.44
  5. Step 5: Solve for x
    x = 137,893,965,521.44/399,122.14
  6. Step 6: Final answer
    x = 345,493.15

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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.