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Finding the Fourth Proportional to 275,577.40, 412,928.70 and 181,973.80

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Solution

The fourth proportional to 275,577.40, 412,928.70 and 181,973.80 is: 272,671.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,577.40 : 412,928.70 = 181,973.80 : x
  2. Step 2: Convert to fraction form
    275,577.40/412,928.70 = 181,973.80/x
  3. Step 3: Cross multiply
    275,577.40x = 412,928.70 × 181,973.80
  4. Step 4: Simplify right side
    275,577.40x = 75,142,204,668.06
  5. Step 5: Solve for x
    x = 75,142,204,668.06/275,577.40
  6. Step 6: Final answer
    x = 272,671.87

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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.