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Finding the Fourth Proportional to 308,954.48, 463,439.84 and 98,592.20

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Solution

The fourth proportional to 308,954.48, 463,439.84 and 98,592.20 is: 147,890.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,954.48 : 463,439.84 = 98,592.20 : x
  2. Step 2: Convert to fraction form
    308,954.48/463,439.84 = 98,592.20/x
  3. Step 3: Cross multiply
    308,954.48x = 463,439.84 × 98,592.20
  4. Step 4: Simplify right side
    308,954.48x = 45,691,553,393.25
  5. Step 5: Solve for x
    x = 45,691,553,393.25/308,954.48
  6. Step 6: Final answer
    x = 147,890.89

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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.