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Finding the Fourth Proportional to 347,935.20, 480,142.44 and 204,704.46

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Solution

The fourth proportional to 347,935.20, 480,142.44 and 204,704.46 is: 282,487.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,935.20 : 480,142.44 = 204,704.46 : x
  2. Step 2: Convert to fraction form
    347,935.20/480,142.44 = 204,704.46/x
  3. Step 3: Cross multiply
    347,935.20x = 480,142.44 × 204,704.46
  4. Step 4: Simplify right side
    347,935.20x = 98,287,298,903.28
  5. Step 5: Solve for x
    x = 98,287,298,903.28/347,935.20
  6. Step 6: Final answer
    x = 282,487.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.