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Finding the Fourth Proportional to 275,605.40, 412,970.70 and 182,001.80

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Solution

The fourth proportional to 275,605.40, 412,970.70 and 182,001.80 is: 272,713.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,605.40 : 412,970.70 = 182,001.80 : x
  2. Step 2: Convert to fraction form
    275,605.40/412,970.70 = 182,001.80/x
  3. Step 3: Cross multiply
    275,605.40x = 412,970.70 × 182,001.80
  4. Step 4: Simplify right side
    275,605.40x = 75,161,410,747.26
  5. Step 5: Solve for x
    x = 75,161,410,747.26/275,605.40
  6. Step 6: Final answer
    x = 272,713.85

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1.5x scale

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.