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Finding the Fourth Proportional to 470,572.92, 705,857.70 and 204,298.68

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Solution

The fourth proportional to 470,572.92, 705,857.70 and 204,298.68 is: 306,447.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,572.92 : 705,857.70 = 204,298.68 : x
  2. Step 2: Convert to fraction form
    470,572.92/705,857.70 = 204,298.68/x
  3. Step 3: Cross multiply
    470,572.92x = 705,857.70 × 204,298.68
  4. Step 4: Simplify right side
    470,572.92x = 144,205,796,377.84
  5. Step 5: Solve for x
    x = 144,205,796,377.84/470,572.92
  6. Step 6: Final answer
    x = 306,447.29

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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.