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Finding the Fourth Proportional to 470,198.08, 704,355.84 and 269,956.48

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Solution

The fourth proportional to 470,198.08, 704,355.84 and 269,956.48 is: 404,394.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,198.08 : 704,355.84 = 269,956.48 : x
  2. Step 2: Convert to fraction form
    470,198.08/704,355.84 = 269,956.48/x
  3. Step 3: Cross multiply
    470,198.08x = 704,355.84 × 269,956.48
  4. Step 4: Simplify right side
    470,198.08x = 190,145,423,233.84
  5. Step 5: Solve for x
    x = 190,145,423,233.84/470,198.08
  6. Step 6: Final answer
    x = 404,394.30

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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.