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Finding the Fourth Proportional to 297,505.98, 409,873.10 and 205,537.16

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Solution

The fourth proportional to 297,505.98, 409,873.10 and 205,537.16 is: 283,167.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,505.98 : 409,873.10 = 205,537.16 : x
  2. Step 2: Convert to fraction form
    297,505.98/409,873.10 = 205,537.16/x
  3. Step 3: Cross multiply
    297,505.98x = 409,873.10 × 205,537.16
  4. Step 4: Simplify right side
    297,505.98x = 84,244,155,313.41
  5. Step 5: Solve for x
    x = 84,244,155,313.41/297,505.98
  6. Step 6: Final answer
    x = 283,167.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.