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Finding the Fourth Proportional to 309,986.82, 464,991.60 and 85,364.64

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Solution

The fourth proportional to 309,986.82, 464,991.60 and 85,364.64 is: 128,050.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,986.82 : 464,991.60 = 85,364.64 : x
  2. Step 2: Convert to fraction form
    309,986.82/464,991.60 = 85,364.64/x
  3. Step 3: Cross multiply
    309,986.82x = 464,991.60 × 85,364.64
  4. Step 4: Simplify right side
    309,986.82x = 39,693,840,537.02
  5. Step 5: Solve for x
    x = 39,693,840,537.02/309,986.82
  6. Step 6: Final answer
    x = 128,050.09

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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.