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Finding the Fourth Proportional to 420,633.12, 580,449.06 and 229,608.12

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Solution

The fourth proportional to 420,633.12, 580,449.06 and 229,608.12 is: 316,845.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,633.12 : 580,449.06 = 229,608.12 : x
  2. Step 2: Convert to fraction form
    420,633.12/580,449.06 = 229,608.12/x
  3. Step 3: Cross multiply
    420,633.12x = 580,449.06 × 229,608.12
  4. Step 4: Simplify right side
    420,633.12x = 133,275,817,422.37
  5. Step 5: Solve for x
    x = 133,275,817,422.37/420,633.12
  6. Step 6: Final answer
    x = 316,845.75

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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.