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Finding the Fourth Proportional to 309,563.62, 464,391.58 and 109,867.29

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Solution

The fourth proportional to 309,563.62, 464,391.58 and 109,867.29 is: 164,817.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,563.62 : 464,391.58 = 109,867.29 : x
  2. Step 2: Convert to fraction form
    309,563.62/464,391.58 = 109,867.29/x
  3. Step 3: Cross multiply
    309,563.62x = 464,391.58 × 109,867.29
  4. Step 4: Simplify right side
    309,563.62x = 51,021,442,583.28
  5. Step 5: Solve for x
    x = 51,021,442,583.28/309,563.62
  6. Step 6: Final answer
    x = 164,817.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.