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Finding the Fourth Proportional to 420,251.96, 579,936.21 and 229,265.30

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Solution

The fourth proportional to 420,251.96, 579,936.21 and 229,265.30 is: 316,379.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,251.96 : 579,936.21 = 229,265.30 : x
  2. Step 2: Convert to fraction form
    420,251.96/579,936.21 = 229,265.30/x
  3. Step 3: Cross multiply
    420,251.96x = 579,936.21 × 229,265.30
  4. Step 4: Simplify right side
    420,251.96x = 132,959,246,266.83
  5. Step 5: Solve for x
    x = 132,959,246,266.83/420,251.96
  6. Step 6: Final answer
    x = 316,379.84

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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.