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Finding the Fourth Proportional to 309,908.62, 464,801.67 and 85,211.08

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Solution

The fourth proportional to 309,908.62, 464,801.67 and 85,211.08 is: 127,799.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,908.62 : 464,801.67 = 85,211.08 : x
  2. Step 2: Convert to fraction form
    309,908.62/464,801.67 = 85,211.08/x
  3. Step 3: Cross multiply
    309,908.62x = 464,801.67 × 85,211.08
  4. Step 4: Simplify right side
    309,908.62x = 39,606,252,286.50
  5. Step 5: Solve for x
    x = 39,606,252,286.50/309,908.62
  6. Step 6: Final answer
    x = 127,799.78

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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.