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Finding the Fourth Proportional to 420,704.37, 580,569.71 and 229,716.40

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Solution

The fourth proportional to 420,704.37, 580,569.71 and 229,716.40 is: 317,007.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,704.37 : 580,569.71 = 229,716.40 : x
  2. Step 2: Convert to fraction form
    420,704.37/580,569.71 = 229,716.40/x
  3. Step 3: Cross multiply
    420,704.37x = 580,569.71 × 229,716.40
  4. Step 4: Simplify right side
    420,704.37x = 133,366,383,730.24
  5. Step 5: Solve for x
    x = 133,366,383,730.24/420,704.37
  6. Step 6: Final answer
    x = 317,007.36

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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.