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Finding the Fourth Proportional to 309,671.26, 464,937 and 160,022.14

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Solution

The fourth proportional to 309,671.26, 464,937 and 160,022.14 is: 240,255.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,671.26 : 464,937 = 160,022.14 : x
  2. Step 2: Convert to fraction form
    309,671.26/464,937 = 160,022.14/x
  3. Step 3: Cross multiply
    309,671.26x = 464,937 × 160,022.14
  4. Step 4: Simplify right side
    309,671.26x = 74,400,213,705.18
  5. Step 5: Solve for x
    x = 74,400,213,705.18/309,671.26
  6. Step 6: Final answer
    x = 240,255.47

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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.