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Finding the Fourth Proportional to 685,652.50, 945,886.44 and 444,012.90

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Solution

The fourth proportional to 685,652.50, 945,886.44 and 444,012.90 is: 612,534.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,652.50 : 945,886.44 = 444,012.90 : x
  2. Step 2: Convert to fraction form
    685,652.50/945,886.44 = 444,012.90/x
  3. Step 3: Cross multiply
    685,652.50x = 945,886.44 × 444,012.90
  4. Step 4: Simplify right side
    685,652.50x = 419,985,781,295.08
  5. Step 5: Solve for x
    x = 419,985,781,295.08/685,652.50
  6. Step 6: Final answer
    x = 612,534.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.