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Finding the Fourth Proportional to 470,532.24, 705,401.48 and 204,092.08

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Solution

The fourth proportional to 470,532.24, 705,401.48 and 204,092.08 is: 305,965.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,532.24 : 705,401.48 = 204,092.08 : x
  2. Step 2: Convert to fraction form
    470,532.24/705,401.48 = 204,092.08/x
  3. Step 3: Cross multiply
    470,532.24x = 705,401.48 × 204,092.08
  4. Step 4: Simplify right side
    470,532.24x = 143,966,855,288.28
  5. Step 5: Solve for x
    x = 143,966,855,288.28/470,532.24
  6. Step 6: Final answer
    x = 305,965.97

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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.