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Finding the Fourth Proportional to 388,096.40, 582,144.60 and 151,446.80

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Solution

The fourth proportional to 388,096.40, 582,144.60 and 151,446.80 is: 227,170.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,096.40 : 582,144.60 = 151,446.80 : x
  2. Step 2: Convert to fraction form
    388,096.40/582,144.60 = 151,446.80/x
  3. Step 3: Cross multiply
    388,096.40x = 582,144.60 × 151,446.80
  4. Step 4: Simplify right side
    388,096.40x = 88,163,936,807.28
  5. Step 5: Solve for x
    x = 88,163,936,807.28/388,096.40
  6. Step 6: Final answer
    x = 227,170.20

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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.