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Finding the Fourth Proportional to 470,809.51, 649,107.28 and 304,942.36

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Solution

The fourth proportional to 470,809.51, 649,107.28 and 304,942.36 is: 420,425.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,809.51 : 649,107.28 = 304,942.36 : x
  2. Step 2: Convert to fraction form
    470,809.51/649,107.28 = 304,942.36/x
  3. Step 3: Cross multiply
    470,809.51x = 649,107.28 × 304,942.36
  4. Step 4: Simplify right side
    470,809.51x = 197,940,305,856.38
  5. Step 5: Solve for x
    x = 197,940,305,856.38/470,809.51
  6. Step 6: Final answer
    x = 420,425.46

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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.