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Finding the Fourth Proportional to 420,116.44, 579,753.62 and 229,118.44

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Solution

The fourth proportional to 420,116.44, 579,753.62 and 229,118.44 is: 316,179.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,116.44 : 579,753.62 = 229,118.44 : x
  2. Step 2: Convert to fraction form
    420,116.44/579,753.62 = 229,118.44/x
  3. Step 3: Cross multiply
    420,116.44x = 579,753.62 × 229,118.44
  4. Step 4: Simplify right side
    420,116.44x = 132,832,244,998.75
  5. Step 5: Solve for x
    x = 132,832,244,998.75/420,116.44
  6. Step 6: Final answer
    x = 316,179.59

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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.