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Finding the Fourth Proportional to 420,589.57, 580,416.03 and 229,604.93

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Solution

The fourth proportional to 420,589.57, 580,416.03 and 229,604.93 is: 316,856.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,589.57 : 580,416.03 = 229,604.93 : x
  2. Step 2: Convert to fraction form
    420,589.57/580,416.03 = 229,604.93/x
  3. Step 3: Cross multiply
    420,589.57x = 580,416.03 × 229,604.93
  4. Step 4: Simplify right side
    420,589.57x = 133,266,380,791.00
  5. Step 5: Solve for x
    x = 133,266,380,791.00/420,589.57
  6. Step 6: Final answer
    x = 316,856.13

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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.