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Finding the Fourth Proportional to 420,728.62, 580,605.42 and 229,742.20

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Solution

The fourth proportional to 420,728.62, 580,605.42 and 229,742.20 is: 317,044.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,728.62 : 580,605.42 = 229,742.20 : x
  2. Step 2: Convert to fraction form
    420,728.62/580,605.42 = 229,742.20/x
  3. Step 3: Cross multiply
    420,728.62x = 580,605.42 × 229,742.20
  4. Step 4: Simplify right side
    420,728.62x = 133,389,566,522.72
  5. Step 5: Solve for x
    x = 133,389,566,522.72/420,728.62
  6. Step 6: Final answer
    x = 317,044.19

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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.