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Finding the Fourth Proportional to 308,964.40, 463,619.40 and 131,441.20

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Solution

The fourth proportional to 308,964.40, 463,619.40 and 131,441.20 is: 197,235.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,964.40 : 463,619.40 = 131,441.20 : x
  2. Step 2: Convert to fraction form
    308,964.40/463,619.40 = 131,441.20/x
  3. Step 3: Cross multiply
    308,964.40x = 463,619.40 × 131,441.20
  4. Step 4: Simplify right side
    308,964.40x = 60,938,690,279.28
  5. Step 5: Solve for x
    x = 60,938,690,279.28/308,964.40
  6. Step 6: Final answer
    x = 197,235.31

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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.