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Finding the Fourth Proportional to 297,961.66, 411,195.18 and 162,004.78

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Solution

The fourth proportional to 297,961.66, 411,195.18 and 162,004.78 is: 223,570.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,961.66 : 411,195.18 = 162,004.78 : x
  2. Step 2: Convert to fraction form
    297,961.66/411,195.18 = 162,004.78/x
  3. Step 3: Cross multiply
    297,961.66x = 411,195.18 × 162,004.78
  4. Step 4: Simplify right side
    297,961.66x = 66,615,582,616.98
  5. Step 5: Solve for x
    x = 66,615,582,616.98/297,961.66
  6. Step 6: Final answer
    x = 223,570.99

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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.