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Finding the Fourth Proportional to 470,504.43, 705,360.11 and 204,064.38

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Solution

The fourth proportional to 470,504.43, 705,360.11 and 204,064.38 is: 305,924.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,504.43 : 705,360.11 = 204,064.38 : x
  2. Step 2: Convert to fraction form
    470,504.43/705,360.11 = 204,064.38/x
  3. Step 3: Cross multiply
    470,504.43x = 705,360.11 × 204,064.38
  4. Step 4: Simplify right side
    470,504.43x = 143,938,872,503.56
  5. Step 5: Solve for x
    x = 143,938,872,503.56/470,504.43
  6. Step 6: Final answer
    x = 305,924.59

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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.