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Finding the Fourth Proportional to 327,351.92, 451,807.76 and 204,901.12

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Solution

The fourth proportional to 327,351.92, 451,807.76 and 204,901.12 is: 282,802.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,351.92 : 451,807.76 = 204,901.12 : x
  2. Step 2: Convert to fraction form
    327,351.92/451,807.76 = 204,901.12/x
  3. Step 3: Cross multiply
    327,351.92x = 451,807.76 × 204,901.12
  4. Step 4: Simplify right side
    327,351.92x = 92,575,916,048.69
  5. Step 5: Solve for x
    x = 92,575,916,048.69/327,351.92
  6. Step 6: Final answer
    x = 282,802.42

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1.5x scale

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.