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Finding the Fourth Proportional to 297,007, 409,889.22 and 162,871

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Solution

The fourth proportional to 297,007, 409,889.22 and 162,871 is: 224,772.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,007 : 409,889.22 = 162,871 : x
  2. Step 2: Convert to fraction form
    297,007/409,889.22 = 162,871/x
  3. Step 3: Cross multiply
    297,007x = 409,889.22 × 162,871
  4. Step 4: Simplify right side
    297,007x = 66,759,067,150.62
  5. Step 5: Solve for x
    x = 66,759,067,150.62/297,007
  6. Step 6: Final answer
    x = 224,772.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.