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Finding the Fourth Proportional to 297,083.79, 409,865.94 and 205,196.99

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Solution

The fourth proportional to 297,083.79, 409,865.94 and 205,196.99 is: 283,096.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,083.79 : 409,865.94 = 205,196.99 : x
  2. Step 2: Convert to fraction form
    297,083.79/409,865.94 = 205,196.99/x
  3. Step 3: Cross multiply
    297,083.79x = 409,865.94 × 205,196.99
  4. Step 4: Simplify right side
    297,083.79x = 84,103,255,142.19
  5. Step 5: Solve for x
    x = 84,103,255,142.19/297,083.79
  6. Step 6: Final answer
    x = 283,096.08

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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.