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Finding the Fourth Proportional to 470,704.67, 705,660.17 and 204,264.48

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Solution

The fourth proportional to 470,704.67, 705,660.17 and 204,264.48 is: 306,224.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,704.67 : 705,660.17 = 204,264.48 : x
  2. Step 2: Convert to fraction form
    470,704.67/705,660.17 = 204,264.48/x
  3. Step 3: Cross multiply
    470,704.67x = 705,660.17 × 204,264.48
  4. Step 4: Simplify right side
    470,704.67x = 144,141,310,455.65
  5. Step 5: Solve for x
    x = 144,141,310,455.65/470,704.67
  6. Step 6: Final answer
    x = 306,224.52

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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.