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Finding the Fourth Proportional to 470,573.92, 705,859.20 and 204,299.68

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Solution

The fourth proportional to 470,573.92, 705,859.20 and 204,299.68 is: 306,448.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,573.92 : 705,859.20 = 204,299.68 : x
  2. Step 2: Convert to fraction form
    470,573.92/705,859.20 = 204,299.68/x
  3. Step 3: Cross multiply
    470,573.92x = 705,859.20 × 204,299.68
  4. Step 4: Simplify right side
    470,573.92x = 144,206,808,685.06
  5. Step 5: Solve for x
    x = 144,206,808,685.06/470,573.92
  6. Step 6: Final answer
    x = 306,448.79

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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.