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Finding the Fourth Proportional to 494,405.92, 741,607.44 and 427,647.52

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Solution

The fourth proportional to 494,405.92, 741,607.44 and 427,647.52 is: 641,470.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,405.92 : 741,607.44 = 427,647.52 : x
  2. Step 2: Convert to fraction form
    494,405.92/741,607.44 = 427,647.52/x
  3. Step 3: Cross multiply
    494,405.92x = 741,607.44 × 427,647.52
  4. Step 4: Simplify right side
    494,405.92x = 317,146,582,529.55
  5. Step 5: Solve for x
    x = 317,146,582,529.55/494,405.92
  6. Step 6: Final answer
    x = 641,470.03

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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.