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Finding the Fourth Proportional to 278,883.35, 384,750.36 and 206,459.60

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Solution

The fourth proportional to 278,883.35, 384,750.36 and 206,459.60 is: 284,833.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,883.35 : 384,750.36 = 206,459.60 : x
  2. Step 2: Convert to fraction form
    278,883.35/384,750.36 = 206,459.60/x
  3. Step 3: Cross multiply
    278,883.35x = 384,750.36 × 206,459.60
  4. Step 4: Simplify right side
    278,883.35x = 79,435,403,501.70
  5. Step 5: Solve for x
    x = 79,435,403,501.70/278,883.35
  6. Step 6: Final answer
    x = 284,833.80

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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.