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Finding the Fourth Proportional to 274,624.40, 411,936.60 and 97,331.60

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Solution

The fourth proportional to 274,624.40, 411,936.60 and 97,331.60 is: 145,997.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,624.40 : 411,936.60 = 97,331.60 : x
  2. Step 2: Convert to fraction form
    274,624.40/411,936.60 = 97,331.60/x
  3. Step 3: Cross multiply
    274,624.40x = 411,936.60 × 97,331.60
  4. Step 4: Simplify right side
    274,624.40x = 40,094,448,376.56
  5. Step 5: Solve for x
    x = 40,094,448,376.56/274,624.40
  6. Step 6: Final answer
    x = 145,997.40

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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.