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Finding the Fourth Proportional to 309,361.24, 464,033.35 and 98,996.14

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Solution

The fourth proportional to 309,361.24, 464,033.35 and 98,996.14 is: 148,491.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,361.24 : 464,033.35 = 98,996.14 : x
  2. Step 2: Convert to fraction form
    309,361.24/464,033.35 = 98,996.14/x
  3. Step 3: Cross multiply
    309,361.24x = 464,033.35 × 98,996.14
  4. Step 4: Simplify right side
    309,361.24x = 45,937,510,481.27
  5. Step 5: Solve for x
    x = 45,937,510,481.27/309,361.24
  6. Step 6: Final answer
    x = 148,491.49

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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.