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Finding the Fourth Proportional to 309,473.26, 464,056.80 and 109,763.71

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Solution

The fourth proportional to 309,473.26, 464,056.80 and 109,763.71 is: 164,591.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,473.26 : 464,056.80 = 109,763.71 : x
  2. Step 2: Convert to fraction form
    309,473.26/464,056.80 = 109,763.71/x
  3. Step 3: Cross multiply
    309,473.26x = 464,056.80 × 109,763.71
  4. Step 4: Simplify right side
    309,473.26x = 50,936,594,446.97
  5. Step 5: Solve for x
    x = 50,936,594,446.97/309,473.26
  6. Step 6: Final answer
    x = 164,591.26

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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.