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Finding the Fourth Proportional to 446,866.34, 670,343.24 and 147,224.66

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Solution

The fourth proportional to 446,866.34, 670,343.24 and 147,224.66 is: 220,851.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,866.34 : 670,343.24 = 147,224.66 : x
  2. Step 2: Convert to fraction form
    446,866.34/670,343.24 = 147,224.66/x
  3. Step 3: Cross multiply
    446,866.34x = 670,343.24 × 147,224.66
  4. Step 4: Simplify right side
    446,866.34x = 98,691,052,608.64
  5. Step 5: Solve for x
    x = 98,691,052,608.64/446,866.34
  6. Step 6: Final answer
    x = 220,851.39

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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.