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Finding the Fourth Proportional to 446,906.72, 670,265.50 and 147,316.09

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Solution

The fourth proportional to 446,906.72, 670,265.50 and 147,316.09 is: 220,942.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,906.72 : 670,265.50 = 147,316.09 : x
  2. Step 2: Convert to fraction form
    446,906.72/670,265.50 = 147,316.09/x
  3. Step 3: Cross multiply
    446,906.72x = 670,265.50 × 147,316.09
  4. Step 4: Simplify right side
    446,906.72x = 98,740,892,721.90
  5. Step 5: Solve for x
    x = 98,740,892,721.90/446,906.72
  6. Step 6: Final answer
    x = 220,942.96

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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.