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Finding the Fourth Proportional to 297,614.64, 410,711.24 and 161,649.92

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Solution

The fourth proportional to 297,614.64, 410,711.24 and 161,649.92 is: 223,078.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,614.64 : 410,711.24 = 161,649.92 : x
  2. Step 2: Convert to fraction form
    297,614.64/410,711.24 = 161,649.92/x
  3. Step 3: Cross multiply
    297,614.64x = 410,711.24 × 161,649.92
  4. Step 4: Simplify right side
    297,614.64x = 66,391,439,089.10
  5. Step 5: Solve for x
    x = 66,391,439,089.10/297,614.64
  6. Step 6: Final answer
    x = 223,078.54

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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.