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Finding the Fourth Proportional to 442,866.60, 664,299.90 and 206,670.60

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Solution

The fourth proportional to 442,866.60, 664,299.90 and 206,670.60 is: 310,005.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,866.60 : 664,299.90 = 206,670.60 : x
  2. Step 2: Convert to fraction form
    442,866.60/664,299.90 = 206,670.60/x
  3. Step 3: Cross multiply
    442,866.60x = 664,299.90 × 206,670.60
  4. Step 4: Simplify right side
    442,866.60x = 137,291,258,912.94
  5. Step 5: Solve for x
    x = 137,291,258,912.94/442,866.60
  6. Step 6: Final answer
    x = 310,005.90

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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.