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Finding the Fourth Proportional to 308,591.24, 462,877.90 and 98,241.80

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Solution

The fourth proportional to 308,591.24, 462,877.90 and 98,241.80 is: 147,359.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,591.24 : 462,877.90 = 98,241.80 : x
  2. Step 2: Convert to fraction form
    308,591.24/462,877.90 = 98,241.80/x
  3. Step 3: Cross multiply
    308,591.24x = 462,877.90 × 98,241.80
  4. Step 4: Simplify right side
    308,591.24x = 45,473,958,076.22
  5. Step 5: Solve for x
    x = 45,473,958,076.22/308,591.24
  6. Step 6: Final answer
    x = 147,359.85

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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.