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Finding the Fourth Proportional to 309,396.11, 464,094.55 and 84,758.50

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Solution

The fourth proportional to 309,396.11, 464,094.55 and 84,758.50 is: 127,137.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,396.11 : 464,094.55 = 84,758.50 : x
  2. Step 2: Convert to fraction form
    309,396.11/464,094.55 = 84,758.50/x
  3. Step 3: Cross multiply
    309,396.11x = 464,094.55 × 84,758.50
  4. Step 4: Simplify right side
    309,396.11x = 39,335,958,125.47
  5. Step 5: Solve for x
    x = 39,335,958,125.47/309,396.11
  6. Step 6: Final answer
    x = 127,137.86

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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.