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Finding the Fourth Proportional to 470,503.16, 705,358 and 204,063

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Solution

The fourth proportional to 470,503.16, 705,358 and 204,063 is: 305,922.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,503.16 : 705,358 = 204,063 : x
  2. Step 2: Convert to fraction form
    470,503.16/705,358 = 204,063/x
  3. Step 3: Cross multiply
    470,503.16x = 705,358 × 204,063
  4. Step 4: Simplify right side
    470,503.16x = 143,937,469,554
  5. Step 5: Solve for x
    x = 143,937,469,554/470,503.16
  6. Step 6: Final answer
    x = 305,922.43

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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.