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Finding the Fourth Proportional to 473,022.20, 709,314.60 and 206,645.60

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Solution

The fourth proportional to 473,022.20, 709,314.60 and 206,645.60 is: 309,872.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,022.20 : 709,314.60 = 206,645.60 : x
  2. Step 2: Convert to fraction form
    473,022.20/709,314.60 = 206,645.60/x
  3. Step 3: Cross multiply
    473,022.20x = 709,314.60 × 206,645.60
  4. Step 4: Simplify right side
    473,022.20x = 146,576,741,105.76
  5. Step 5: Solve for x
    x = 146,576,741,105.76/473,022.20
  6. Step 6: Final answer
    x = 309,872.86

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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.