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Finding the Fourth Proportional to 297,997.91, 411,242.26 and 162,032.78

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Solution

The fourth proportional to 297,997.91, 411,242.26 and 162,032.78 is: 223,608.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,997.91 : 411,242.26 = 162,032.78 : x
  2. Step 2: Convert to fraction form
    297,997.91/411,242.26 = 162,032.78/x
  3. Step 3: Cross multiply
    297,997.91x = 411,242.26 × 162,032.78
  4. Step 4: Simplify right side
    297,997.91x = 66,634,727,264.31
  5. Step 5: Solve for x
    x = 66,634,727,264.31/297,997.91
  6. Step 6: Final answer
    x = 223,608.03

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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.