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Finding the Fourth Proportional to 465,043, 697,571.10 and 132,619

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Solution

The fourth proportional to 465,043, 697,571.10 and 132,619 is: 198,930.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,043 : 697,571.10 = 132,619 : x
  2. Step 2: Convert to fraction form
    465,043/697,571.10 = 132,619/x
  3. Step 3: Cross multiply
    465,043x = 697,571.10 × 132,619
  4. Step 4: Simplify right side
    465,043x = 92,511,181,710.90
  5. Step 5: Solve for x
    x = 92,511,181,710.90/465,043
  6. Step 6: Final answer
    x = 198,930.38

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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.