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Finding the Fourth Proportional to 308,827.44, 463,236.30 and 98,463.96

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Solution

The fourth proportional to 308,827.44, 463,236.30 and 98,463.96 is: 147,694.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,827.44 : 463,236.30 = 98,463.96 : x
  2. Step 2: Convert to fraction form
    308,827.44/463,236.30 = 98,463.96/x
  3. Step 3: Cross multiply
    308,827.44x = 463,236.30 × 98,463.96
  4. Step 4: Simplify right side
    308,827.44x = 45,612,080,513.75
  5. Step 5: Solve for x
    x = 45,612,080,513.75/308,827.44
  6. Step 6: Final answer
    x = 147,694.39

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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.