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Finding the Fourth Proportional to 299,516.10, 413,349.09 and 163,562.70

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Solution

The fourth proportional to 299,516.10, 413,349.09 and 163,562.70 is: 225,725.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,516.10 : 413,349.09 = 163,562.70 : x
  2. Step 2: Convert to fraction form
    299,516.10/413,349.09 = 163,562.70/x
  3. Step 3: Cross multiply
    299,516.10x = 413,349.09 × 163,562.70
  4. Step 4: Simplify right side
    299,516.10x = 67,608,493,202.94
  5. Step 5: Solve for x
    x = 67,608,493,202.94/299,516.10
  6. Step 6: Final answer
    x = 225,725.74

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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.