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Finding the Fourth Proportional to 420,651.36, 580,507.02 and 229,672.26

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Solution

The fourth proportional to 420,651.36, 580,507.02 and 229,672.26 is: 316,952.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,651.36 : 580,507.02 = 229,672.26 : x
  2. Step 2: Convert to fraction form
    420,651.36/580,507.02 = 229,672.26/x
  3. Step 3: Cross multiply
    420,651.36x = 580,507.02 × 229,672.26
  4. Step 4: Simplify right side
    420,651.36x = 133,326,359,229.27
  5. Step 5: Solve for x
    x = 133,326,359,229.27/420,651.36
  6. Step 6: Final answer
    x = 316,952.16

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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.