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Finding the Fourth Proportional to 398,744.64, 598,091.04 and 211,861.44

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Solution

The fourth proportional to 398,744.64, 598,091.04 and 211,861.44 is: 317,778.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,744.64 : 598,091.04 = 211,861.44 : x
  2. Step 2: Convert to fraction form
    398,744.64/598,091.04 = 211,861.44/x
  3. Step 3: Cross multiply
    398,744.64x = 598,091.04 × 211,861.44
  4. Step 4: Simplify right side
    398,744.64x = 126,712,428,985.50
  5. Step 5: Solve for x
    x = 126,712,428,985.50/398,744.64
  6. Step 6: Final answer
    x = 317,778.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.