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Finding the Fourth Proportional to 420,456.16, 580,231.24 and 229,473.60

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Solution

The fourth proportional to 420,456.16, 580,231.24 and 229,473.60 is: 316,674.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,456.16 : 580,231.24 = 229,473.60 : x
  2. Step 2: Convert to fraction form
    420,456.16/580,231.24 = 229,473.60/x
  3. Step 3: Cross multiply
    420,456.16x = 580,231.24 × 229,473.60
  4. Step 4: Simplify right side
    420,456.16x = 133,147,751,475.26
  5. Step 5: Solve for x
    x = 133,147,751,475.26/420,456.16
  6. Step 6: Final answer
    x = 316,674.52

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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.