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Finding the Fourth Proportional to 470,522.92, 705,387.62 and 204,082.78

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Solution

The fourth proportional to 470,522.92, 705,387.62 and 204,082.78 is: 305,952.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,522.92 : 705,387.62 = 204,082.78 : x
  2. Step 2: Convert to fraction form
    470,522.92/705,387.62 = 204,082.78/x
  3. Step 3: Cross multiply
    470,522.92x = 705,387.62 × 204,082.78
  4. Step 4: Simplify right side
    470,522.92x = 143,957,466,467.18
  5. Step 5: Solve for x
    x = 143,957,466,467.18/470,522.92
  6. Step 6: Final answer
    x = 305,952.08

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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.