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Finding the Fourth Proportional to 470,523.62, 705,388.67 and 204,083.46

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Solution

The fourth proportional to 470,523.62, 705,388.67 and 204,083.46 is: 305,953.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,523.62 : 705,388.67 = 204,083.46 : x
  2. Step 2: Convert to fraction form
    470,523.62/705,388.67 = 204,083.46/x
  3. Step 3: Cross multiply
    470,523.62x = 705,388.67 × 204,083.46
  4. Step 4: Simplify right side
    470,523.62x = 143,958,159,397.98
  5. Step 5: Solve for x
    x = 143,958,159,397.98/470,523.62
  6. Step 6: Final answer
    x = 305,953.10

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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.