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Finding the Fourth Proportional to 493,212.33, 680,382.18 and 299,568.60

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Solution

The fourth proportional to 493,212.33, 680,382.18 and 299,568.60 is: 413,252.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,212.33 : 680,382.18 = 299,568.60 : x
  2. Step 2: Convert to fraction form
    493,212.33/680,382.18 = 299,568.60/x
  3. Step 3: Cross multiply
    493,212.33x = 680,382.18 × 299,568.60
  4. Step 4: Simplify right side
    493,212.33x = 203,821,137,127.55
  5. Step 5: Solve for x
    x = 203,821,137,127.55/493,212.33
  6. Step 6: Final answer
    x = 413,252.31

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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.