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Finding the Fourth Proportional to 420,974.32, 580,913.96 and 229,947.12

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Solution

The fourth proportional to 420,974.32, 580,913.96 and 229,947.12 is: 317,310.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,974.32 : 580,913.96 = 229,947.12 : x
  2. Step 2: Convert to fraction form
    420,974.32/580,913.96 = 229,947.12/x
  3. Step 3: Cross multiply
    420,974.32x = 580,913.96 × 229,947.12
  4. Step 4: Simplify right side
    420,974.32x = 133,579,492,069.80
  5. Step 5: Solve for x
    x = 133,579,492,069.80/420,974.32
  6. Step 6: Final answer
    x = 317,310.31

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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.