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Finding the Fourth Proportional to 644,969.41, 967,474.40 and 165,200.20

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Solution

The fourth proportional to 644,969.41, 967,474.40 and 165,200.20 is: 247,805.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,969.41 : 967,474.40 = 165,200.20 : x
  2. Step 2: Convert to fraction form
    644,969.41/967,474.40 = 165,200.20/x
  3. Step 3: Cross multiply
    644,969.41x = 967,474.40 × 165,200.20
  4. Step 4: Simplify right side
    644,969.41x = 159,826,961,130.19
  5. Step 5: Solve for x
    x = 159,826,961,130.19/644,969.41
  6. Step 6: Final answer
    x = 247,805.49

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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.