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Finding the Fourth Proportional to 297,843.84, 411,027.72 and 161,877.72

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Solution

The fourth proportional to 297,843.84, 411,027.72 and 161,877.72 is: 223,393.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,843.84 : 411,027.72 = 161,877.72 : x
  2. Step 2: Convert to fraction form
    297,843.84/411,027.72 = 161,877.72/x
  3. Step 3: Cross multiply
    297,843.84x = 411,027.72 × 161,877.72
  4. Step 4: Simplify right side
    297,843.84x = 66,536,230,170.40
  5. Step 5: Solve for x
    x = 66,536,230,170.40/297,843.84
  6. Step 6: Final answer
    x = 223,393.00

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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.